Details

analyze1.6s (15.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

750×	`div-sub_binary64`
723×	`neg-mul-1_binary64`
548×	`neg-sub0_binary64`
545×	`associate-/l*_binary64`
477×	`distribute-frac-neg_binary64`
315×	`associate-/r*_binary64`
295×	`distribute-rgt-in_binary64`
292×	`sub-neg_binary64`
199×	`cancel-sign-sub-inv_binary64`
166×	`distribute-lft-in_binary64`
149×	`*-commutative_binary64`
144×	`associate-/r/_binary64`
141×	`distribute-lft-neg-out_binary64`
136×	`distribute-rgt-neg-out_binary64`
90×	`associate-r_binary64`
83×	`unsub-neg_binary64`
73×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate--r+_binary64`
63×	`div0_binary64` `associate--l-_binary64`
58×	`distribute-rgt-neg-in_binary64` `associate-l_binary64`
37×	`sub0-neg_binary64`
35×	`associate-+l-_binary64` `+-commutative_binary64`
33×	`distribute-neg-in_binary64`
30×	`*-lft-identity_binary64`
27×	`associate-+l+_binary64`
26×	`distribute-lft-neg-in_binary64`
24×	`remove-double-neg_binary64`
23×	`+-lft-identity_binary64`
18×	`associate-/l/_binary64` `associate--r-_binary64`
12×	`--rgt-identity_binary64`
9×	`/-rgt-identity_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
7×	`*-rgt-identity_binary64`
5×	`+-rgt-identity_binary64` `swap-sqr_binary64`
1×	`1-exp_binary64` `swap-x-y` `swap-t-a`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	231
1	139	231
2	310	231
3	531	231
4	801	231
5	900	231
6	1051	231
7	1759	231
8	3197	231
9	4590	231
10	5017	231
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.6%	98.2%	0.2%	10
3.1%	90.4%	6.5%	11
9.2%	84.4%	6.5%	12
13%	80.6%	6.5%	13
24.8%	68.7%	6.5%	14

Symmetry

(sort x y)

(sort t a)

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample54.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
3.0ms	72×	body	128	nan
1.0ms	26×	body	128	invalid

Compiler

Compiled 29 to 30 computations (-3.4% saved)

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

138×	`distribute-rgt-in_binary64`
130×	`cancel-sign-sub-inv_binary64`
128×	`associate-/r/_binary64`
121×	`unsub-neg_binary64`
118×	`associate-/l*_binary64`
114×	`associate-l_binary64`
109×	`distribute-rgt-neg-in_binary64`
104×	`div-sub_binary64`
97×	`distribute-lft-in_binary64`
93×	`distribute-rgt-neg-out_binary64`
91×	`associate-r_binary64`
82×	`distribute-lft-neg-out_binary64`
78×	`associate-/r*_binary64`
62×	`sub-neg_binary64` `distribute-lft-neg-in_binary64`
59×	`*-commutative_binary64`
55×	`neg-sub0_binary64`
46×	`associate-/l/_binary64`
39×	`mul0-rgt_binary64`
38×	`neg-mul-1_binary64`
35×	`mul0-lft_binary64`
30×	`distribute-neg-frac_binary64`
27×	`distribute-frac-neg_binary64`
26×	`associate--r+_binary64`
20×	`associate-*l/_binary64`
19×	`remove-double-neg_binary64`
18×	`*-lft-identity_binary64`
17×	`+-commutative_binary64`
14×	`*-rgt-identity_binary64` `div0_binary64`
12×	`mul-1-neg_binary64` `distribute-neg-in_binary64`
9×	`associate-+l-_binary64`
8×	`/-rgt-identity_binary64`
7×	`+-lft-identity_binary64`
6×	`sub0-neg_binary64`
5×	`associate-*r/_binary64`
3×	`--rgt-identity_binary64` `associate--r-_binary64` `associate-+l+_binary64`
1×	`1-exp_binary64` `+-rgt-identity_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	25	21
2	51	21
3	81	21
4	118	21
5	141	21
6	170	21
7	204	21
8	410	21
9	742	21
10	959	21
11	845	21
12	901	21
13	899	21
14	899	21
15	899	21
16	806	21

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

28.4b

Counts

1 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(-.f64 (.f64 z z) (.f64 t a))
4.6b	(.f64 (.f64 x y) z)
10.0b	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
26.8b	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

rewrite143.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

23.5b

Rules

18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`sqrt-prod_binary64`
6×	`add-log-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `times-frac_binary64` `associate-/r*_binary64`
4×	`sqrt-div_binary64`
3×	`flip3--_binary64` `flip--_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `pow-prod-down_binary64` `associate-r_binary64`
2×	`associate-/r/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-l_binary64` `-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 76

Calls

4 calls:

10.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
5.0ms	(.f64 (.f64 x y) z)
4.0ms	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
4.0ms	(-.f64 (.f64 z z) (.f64 t a))

Compiler

Compiled 1680 to 272 computations (83.8% saved)

series251.0ms (2.4%)

Error

2.8b

Counts

4 → 66

Calls

4 calls:

116.0ms	(/.f64 (.f64 (.f64 x y) z) (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
48.0ms	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
36.0ms	(-.f64 (.f64 z z) (.f64 t a))
24.0ms	(.f64 (.f64 x y) z)

Compiler

Compiled 2458 to 1948 computations (20.7% saved)

simplify157.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

488×	`associate-/r/_binary64`
211×	`neg-mul-1_binary64`
207×	`associate-/l_binary64` `associate-l*_binary64`
191×	`associate-r_binary64`
164×	`distribute-rgt-neg-in_binary64`
159×	`times-frac_binary64`
154×	`distribute-lft-neg-in_binary64`
142×	`div-sub_binary64`
117×	`distribute-neg-frac_binary64`
109×	`cancel-sign-sub-inv_binary64` `*-commutative_binary64`
95×	`log-prod_binary64`
88×	`cube-prod_binary64`
85×	`log-div_binary64`
83×	`exp-prod_binary64`
79×	`associate-/r*_binary64`
69×	`associate-*l/_binary64`
63×	`associate-*r/_binary64`
60×	`unpow3_binary64` `cube-div_binary64`
58×	`unswap-sqr_binary64`
50×	`sqr-pow_binary64`
48×	`+-commutative_binary64`
47×	`sub-neg_binary64`
45×	`neg-sub0_binary64`
42×	`distribute-rgt-in_binary64`
39×	`distribute-lft-in_binary64`
38×	`associate-/l/_binary64`
34×	`associate--l+_binary64`
28×	`cube-mult_binary64`
27×	`associate-+l-_binary64`
26×	`associate-+l+_binary64`
25×	`associate-+r-_binary64`
24×	`associate-+r+_binary64`
21×	`*-rgt-identity_binary64`
17×	`swap-sqr_binary64`
15×	`log-rec_binary64` `/-rgt-identity_binary64`
13×	`exp-sum_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
12×	`cube-unmult_binary64` `*-lft-identity_binary64` `associate--l-_binary64`
9×	`mul-1-neg_binary64`
7×	`pow-plus_binary64` `unsub-neg_binary64` `distribute-rgt-neg-out_binary64`
6×	`exp-diff_binary64` `rem-sqrt-square_binary64`
5×	`pow-sqr_binary64` `difference-of-squares_binary64`
4×	`unpow1/2_binary64` `distribute-neg-in_binary64` `distribute-lft-out_binary64` `associate--r+_binary64`
3×	`log-pow_binary64` `unpow2_binary64` `unpow1_binary64`
2×	`rem-square-sqrt_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `+-rgt-identity_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`

Counts

142 → 90

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	197	2536
1	513	2278
2	2228	2278
3	4236	2278
4	4983	2278
5	4988	2278
6	5001	2278

prune50.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	83	7	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	8	91

Error

4.8b

Counts

91 → 8

Compiler

Compiled 1110 to 339 computations (69.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
1.2b	(-.f64 (.f64 z z) (.f64 t a))
2.5b	(.f64 (.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
26.8b	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

rewrite149.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

4.8b

Rules

36×	`times-frac_binary64`
34×	`add-sqr-sqrt_binary64`
33×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
24×	`sqrt-prod_binary64` `associate-r_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
6×	`add-log-exp_binary64` `sqrt-div_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-/r*_binary64`
4×	`flip3--_binary64` `flip--_binary64` `associate-/r/_binary64`
3×	`pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64`
2×	`div-inv_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate-r/_binary64` `associate-l_binary64` `-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 112

Calls

4 calls:

12.0ms	(.f64 (.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
6.0ms	(/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
4.0ms	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
4.0ms	(-.f64 (.f64 z z) (.f64 t a))

Compiler

Compiled 2654 to 425 computations (84% saved)

series484.0ms (4.6%)

Error

2.6b

Counts

4 → 71

Calls

4 calls:

251.0ms	(sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
114.0ms	(.f64 (.f64 x y) (/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a)))))
51.0ms	(/.f64 z (sqrt.f64 (-.f64 (.f64 z z) (.f64 t a))))
36.0ms	(-.f64 (.f64 z z) (.f64 t a))

Compiler

Compiled 2817 to 2265 computations (19.6% saved)

simplify116.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

894×	`associate-/r*_binary64`
342×	`associate-/r/_binary64`
269×	`associate-l_binary64`
245×	`associate-/l/_binary64`
243×	`associate-r_binary64`
191×	`distribute-rgt-neg-in_binary64`
177×	`distribute-lft-neg-in_binary64`
165×	`*-commutative_binary64`
155×	`associate-/l*_binary64`
150×	`distribute-neg-frac_binary64`
136×	`times-frac_binary64`
124×	`associate-*r/_binary64`
119×	`cancel-sign-sub-inv_binary64`
71×	`associate-*l/_binary64`
57×	`neg-sub0_binary64`
52×	`unswap-sqr_binary64`
51×	`neg-mul-1_binary64`
49×	`sub-neg_binary64`
48×	`sqr-pow_binary64`
44×	`distribute-rgt-in_binary64`
39×	`distribute-lft-in_binary64`
34×	`exp-prod_binary64`
31×	`*-rgt-identity_binary64` `+-commutative_binary64`
30×	`log-prod_binary64`
24×	`*-lft-identity_binary64`
19×	`cube-prod_binary64`
15×	`swap-sqr_binary64`
13×	`log-div_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
11×	`mul-1-neg_binary64`
9×	`cube-div_binary64` `associate-+l+_binary64`
8×	`cube-unmult_binary64` `div-sub_binary64`
7×	`/-rgt-identity_binary64`
6×	`unpow3_binary64` `cube-mult_binary64` `distribute-neg-in_binary64` `associate--r+_binary64` `associate-+r-_binary64`
5×	`unsub-neg_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `distribute-rgt-neg-out_binary64` `associate--l+_binary64` `associate-+r+_binary64`
4×	`exp-sum_binary64` `rem-sqrt-square_binary64` `distribute-lft-out_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `exp-diff_binary64` `+-rgt-identity_binary64`
2×	`rem-square-sqrt_binary64`
1×	`log-pow_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `count-2_binary64` `associate-+l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

183 → 105

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	241	3771
1	622	3448
2	2434	3448
3	5489	3448

prune57.0ms (0.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	100	5	105
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	101	12	113

Error

3.1b

Counts

113 → 12

Compiler

Compiled 1334 to 456 computations (65.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.9b	(/.f64 (.f64 x y) (fabs.f64 (cbrt.f64 (-.f64 (.f64 z z) (*.f64 t a)))))
7.4b	(.f64 (/.f64 (.f64 x y) (fabs.f64 (cbrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (/.f64 z (sqrt.f64 (cbrt.f64 (-.f64 (.f64 z z) (.f64 t a))))))
27.6b	(cbrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
27.6b	(cbrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

rewrite160.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

3.0b

Rules

40×	`add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
33×	`associate-r_binary64`
30×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
29×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
20×	`sqrt-prod_binary64`
16×	`cbrt-prod_binary64`
9×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64`
7×	`associate-l_binary64`
6×	`pow1_binary64` `cbrt-div_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`flip3--_binary64` `flip--_binary64` `div-inv_binary64` `associate-/r*_binary64`
2×	`pow1/3_binary64` `sqrt-div_binary64` `associate-/r/_binary64`
1×	`pow-prod-down_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64`

Counts

4 → 115

Calls

4 calls:

20.0ms	(.f64 (/.f64 (.f64 x y) (fabs.f64 (cbrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (/.f64 z (sqrt.f64 (cbrt.f64 (-.f64 (.f64 z z) (.f64 t a))))))
4.0ms	(/.f64 (.f64 x y) (fabs.f64 (cbrt.f64 (-.f64 (.f64 z z) (*.f64 t a)))))
4.0ms	(cbrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

Compiler

Compiled 4397 to 470 computations (89.3% saved)

series561.0ms (5.3%)

Error

3.0b

Counts

4 → 72

Calls

4 calls:

245.0ms	(.f64 (/.f64 (.f64 x y) (fabs.f64 (cbrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (/.f64 z (sqrt.f64 (cbrt.f64 (-.f64 (.f64 z z) (.f64 t a))))))
96.0ms	(/.f64 (.f64 x y) (fabs.f64 (cbrt.f64 (-.f64 (.f64 z z) (*.f64 t a)))))
83.0ms	(cbrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
77.0ms	(cbrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

Compiler

Compiled 6729 to 4939 computations (26.6% saved)

simplify226.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

338×	`associate-l_binary64`
304×	`associate-r_binary64`
296×	`associate-/l*_binary64`
282×	`associate-*l/_binary64`
273×	`associate-*r/_binary64`
251×	`times-frac_binary64`
232×	`*-commutative_binary64`
168×	`cancel-sign-sub-inv_binary64`
166×	`associate-/r*_binary64`
131×	`log-prod_binary64`
114×	`unswap-sqr_binary64`
86×	`sqr-pow_binary64` `distribute-neg-frac_binary64`
84×	`sub-neg_binary64`
83×	`associate-/l/_binary64`
76×	`log-div_binary64`
50×	`neg-sub0_binary64`
48×	`neg-mul-1_binary64` `*-rgt-identity_binary64`
39×	`+-commutative_binary64`
34×	`*-lft-identity_binary64`
32×	`exp-prod_binary64`
30×	`exp-sum_binary64` `associate-/r/_binary64`
25×	`cube-div_binary64`
23×	`distribute-rgt-neg-in_binary64`
20×	`distribute-lft-neg-in_binary64`
19×	`unsub-neg_binary64`
15×	`log-pow_binary64` `cube-prod_binary64` `div-sub_binary64`
14×	`exp-diff_binary64`
12×	`/-rgt-identity_binary64` `swap-sqr_binary64` `associate-+l+_binary64`
11×	`unpow1/3_binary64` `cube-unmult_binary64`
10×	`rem-sqrt-square_binary64` `pow-sqr_binary64` `associate-+l-_binary64`
9×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
8×	`associate-+r+_binary64`
7×	`associate-+r-_binary64`
5×	`unpow3_binary64` `cube-mult_binary64` `difference-of-squares_binary64` `associate--r-_binary64` `associate--l+_binary64` `associate--r+_binary64`
4×	`log-rec_binary64` `exp-to-pow_binary64` `exp-neg_binary64` `distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `mul-1-neg_binary64` `distribute-rgt-out_binary64`
2×	`remove-double-neg_binary64` `distribute-rgt-neg-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

187 → 131

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	7261
1	960	6451
2	3940	6423
3	4968	6423
4	5057	6423

prune84.0ms (0.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	3	6	9
Picked	1	0	1
Done	0	2	2
Total	133	10	143

Error

3.0b

Counts

143 → 10

Compiler

Compiled 2674 to 701 computations (73.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(-.f64 (.f64 z z) (.f64 t a))
4.4b	(.f64 (/.f64 z (sqrt.f64 (cbrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (/.f64 y (fabs.f64 (cbrt.f64 (-.f64 (.f64 z z) (*.f64 t a))))))
27.6b	(cbrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
27.6b	(cbrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

rewrite150.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

3.0b

Rules

58×	`add-sqr-sqrt_binary64`
46×	`times-frac_binary64`
33×	`associate-l_binary64`
32×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
22×	`sqrt-prod_binary64`
17×	`cbrt-prod_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64`
8×	`unswap-sqr_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `cbrt-div_binary64`
4×	`flip3--_binary64` `flip--_binary64` `div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64`
2×	`pow1/3_binary64` `div-inv_binary64` `sqrt-div_binary64` `associate-/r/_binary64`
1×	`pow-prod-down_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 112

Calls

4 calls:

20.0ms	(.f64 (/.f64 z (sqrt.f64 (cbrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (/.f64 y (fabs.f64 (cbrt.f64 (-.f64 (.f64 z z) (*.f64 t a))))))
4.0ms	(-.f64 (.f64 z z) (.f64 t a))
4.0ms	(cbrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 z z) (.f64 t a)))

Compiler

Compiled 4387 to 803 computations (81.7% saved)

series443.0ms (4.2%)

Error

3.0b

Counts

4 → 72

Calls

4 calls:

177.0ms	(.f64 (/.f64 z (sqrt.f64 (cbrt.f64 (-.f64 (.f64 z z) (.f64 t a))))) (/.f64 y (fabs.f64 (cbrt.f64 (-.f64 (.f64 z z) (*.f64 t a))))))
79.0ms	(cbrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
75.0ms	(cbrt.f64 (-.f64 (.f64 z z) (.f64 t a)))
44.0ms	(-.f64 (.f64 z z) (.f64 t a))

Compiler

Compiled 6739 to 5044 computations (25.2% saved)

simplify212.0ms (2%)

Algorithm

1×	egg-herbie

Rules

291×	`unswap-sqr_binary64`
257×	`associate-/l*_binary64`
221×	`times-frac_binary64`
215×	`associate-r_binary64`
202×	`*-commutative_binary64`
198×	`associate-l_binary64`
191×	`associate-*r/_binary64`
183×	`associate-*l/_binary64`
164×	`cancel-sign-sub-inv_binary64`
158×	`distribute-rgt-neg-in_binary64`
156×	`associate-/r*_binary64`
152×	`exp-prod_binary64`
150×	`distribute-lft-neg-in_binary64`
101×	`log-prod_binary64`
92×	`sqr-pow_binary64`
82×	`distribute-neg-frac_binary64`
73×	`sub-neg_binary64`
70×	`distribute-rgt-in_binary64`
46×	`neg-sub0_binary64`
45×	`neg-mul-1_binary64`
39×	`+-commutative_binary64`
33×	`exp-sum_binary64`
32×	`associate-/l/_binary64`
31×	`log-div_binary64`
30×	`unpow3_binary64`
24×	`cube-prod_binary64`
19×	`distribute-lft-neg-out_binary64` `associate-/r/_binary64`
18×	`unsub-neg_binary64`
17×	`exp-diff_binary64` `*-rgt-identity_binary64`
16×	`*-lft-identity_binary64`
15×	`log-pow_binary64` `pow-plus_binary64` `swap-sqr_binary64`
14×	`div-sub_binary64` `pow-sqr_binary64`
13×	`distribute-rgt-out_binary64`
12×	`exp-to-pow_binary64` `distribute-neg-in_binary64` `distribute-lft-out_binary64`
11×	`unpow1/3_binary64` `cube-unmult_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-in_binary64`
10×	`cube-div_binary64`
9×	`rem-sqrt-square_binary64` `associate-+l+_binary64`
8×	`associate-+l-_binary64` `associate-+r-_binary64`
7×	`associate-+r+_binary64`
6×	`/-rgt-identity_binary64`
5×	`cube-mult_binary64` `difference-of-squares_binary64` `associate--r-_binary64` `associate--r+_binary64`
4×	`unpow1/2_binary64` `exp-neg_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `mul-1-neg_binary64`
2×	`log-rec_binary64` `remove-double-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `associate--l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

184 → 149

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	320	6505
1	876	6011
2	3080	5847
3	4854	5789
4	4967	5789

prune101.0ms (1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	149	10	159

Error

3.0b

Counts

159 → 10

Compiler

Compiled 3729 to 1014 computations (72.8% saved)

regimes3.8s (35.5%)

Accuracy

Total 2.5b remaining (41.3%)

Threshold costs 0b (0%)

Compiler

Compiled 26392 to 18852 computations (28.6% saved)

bsearch39.0ms (0.4%)

Steps

Iters	Range		Point
8	8.395359080961678e+73	5.1801000824306856e+76	3.444061843611629e+76
1	-1.7325045546896545e+148	-4.5836068696143584e+147	-8.914868256338495e+147

Compiler

Compiled 1 to 5 computations (-400% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
7×	`sub-neg_binary64` `+-commutative_binary64`
6×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`
4×	`distribute-rgt-neg-in_binary64`
3×	`distribute-lft-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64`
1×	`mul-1-neg_binary64` `distribute-lft-neg-out_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	43
1	34	43
2	50	43
3	61	43
4	70	43
5	73	43
6	73	43

end41.0ms (0.4%)

Remove: (sort t a)
Compiler: Compiled 203 to 140 computations (31% saved)

sample1.6s (15.4%)

Algorithm

1×

intervals

Results

424.0ms	8000×	body	128	valid
97.0ms	2223×	body	128	nan
44.0ms	892×	body	128	invalid

Compiler

Compiled 238 to 211 computations (11.3% saved)

Iter	Nodes	Cost
0	13	21
1	25	21
2	51	21
3	81	21
4	118	21
5	141	21
6	170	21
7	204	21
8	410	21
9	742	21
10	959	21
11	845	21
12	901	21
13	899	21
14	899	21
15	899	21
16	806	21

Iter	Nodes	Cost
0	13	21
1	25	21
2	51	21
3	81	21
4	118	21
5	141	21
6	170	21
7	204	21
8	410	21
9	742	21
10	959	21
11	845	21
12	901	21
13	899	21
14	899	21
15	899	21
16	806	21

Details

analyze1.6s (15.3%)

sample54.0ms (0.5%)

simplify56.0ms (0.5%)

prune1.0ms (0%)

localize11.0ms (0.1%)

rewrite143.0ms (1.3%)

series251.0ms (2.4%)

simplify157.0ms (1.5%)

prune50.0ms (0.5%)

localize10.0ms (0.1%)

rewrite149.0ms (1.4%)

series484.0ms (4.6%)

simplify116.0ms (1.1%)

prune57.0ms (0.5%)

localize14.0ms (0.1%)

rewrite160.0ms (1.5%)

series561.0ms (5.3%)

simplify226.0ms (2.1%)

prune84.0ms (0.8%)

localize16.0ms (0.1%)

rewrite150.0ms (1.4%)

series443.0ms (4.2%)

simplify212.0ms (2%)

prune101.0ms (1%)

regimes3.8s (35.5%)

bsearch39.0ms (0.4%)

simplify7.0ms (0.1%)

end41.0ms (0.4%)

sample1.6s (15.4%)

Profiling

Iter	Nodes	Cost
0	13	21
1	25	21
2	51	21
3	81	21
4	118	21
5	141	21
6	170	21
7	204	21
8	410	21
9	742	21
10	959	21
11	845	21
12	901	21
13	899	21
14	899	21
15	899	21
16	806	21