Details

analyze2.5s (16.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

668×	`times-frac_binary64`
359×	`cancel-sign-sub-inv_binary64`
300×	`associate-/l*_binary64`
286×	`*-commutative_binary64`
260×	`neg-mul-1_binary64` `neg-sub0_binary64`
226×	`distribute-rgt-neg-in_binary64`
200×	`distribute-neg-frac_binary64`
197×	`distribute-lft-neg-in_binary64`
155×	`associate-/r/_binary64`
122×	`associate-/l/_binary64`
109×	`sub-neg_binary64`
93×	`associate-/r*_binary64`
85×	`swap-sqr_binary64`
81×	`associate-*r/_binary64`
65×	`associate-*l/_binary64`
49×	`sqr-pow_binary64`
42×	`associate-l_binary64`
30×	`div-sub_binary64`
29×	`distribute-lft-neg-out_binary64`
28×	`associate-r_binary64`
15×	`sub0-neg_binary64` `associate-+l-_binary64` `+-commutative_binary64`
13×	`unpow2_binary64`
12×	`unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64`
1×	`1-exp_binary64` `swap-M-D`
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` `pow-plus_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` `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-square-sqrt_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-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` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	432
1	374	432
2	1139	432
3	2964	432
4	5015	432
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
5.1%	94.6%	0.3%	13
7%	92.7%	0.3%	14

Symmetry

(sort M D)

Compiler

Compiled 19 to 19 computations (0% saved)

sample67.0ms (0.4%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
12.0ms	96×	body	128	nan
3.0ms	40×	body	128	invalid

Compiler

Compiled 37 to 43 computations (-16.2% saved)

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

893×	`div-sub_binary64`
645×	`distribute-neg-frac_binary64`
581×	`distribute-rgt-neg-in_binary64`
569×	`distribute-lft-neg-in_binary64`
418×	`associate-/l*_binary64`
372×	`cancel-sign-sub-inv_binary64`
263×	`associate-/l/_binary64`
254×	`*-commutative_binary64`
227×	`times-frac_binary64`
189×	`associate-/r/_binary64`
163×	`associate-/r*_binary64`
133×	`neg-mul-1_binary64`
132×	`neg-sub0_binary64`
91×	`associate-*l/_binary64`
78×	`associate-*r/_binary64`
77×	`associate-l_binary64`
69×	`associate-r_binary64`
31×	`sub-neg_binary64`
22×	`distribute-lft-neg-out_binary64`
20×	`swap-sqr_binary64`
18×	`distribute-rgt-neg-out_binary64`
15×	`distribute-frac-neg_binary64`
8×	`unswap-sqr_binary64`
7×	`sqr-pow_binary64`
4×	`unsub-neg_binary64`
3×	`pow-plus_binary64` `cube-unmult_binary64` `+-commutative_binary64`
2×	`mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
1×	`unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `associate-+l-_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-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_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` `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-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-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-neg-in_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--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	27
1	42	27
2	111	27
3	718	27
4	2816	27
5	4686	27
6	6100	27

prune2.0ms (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

14.3b

Counts

1 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.5b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
4.2b	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
5.0b	(/.f64 (.f64 M D) (.f64 2 d))
10.8b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

rewrite274.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

7.0b

Rules

67×	`add-exp-log_binary64`
38×	`add-sqr-sqrt_binary64`
27×	`prod-exp_binary64`
23×	`add-cbrt-cube_binary64`
19×	`div-exp_binary64` `associate-r_binary64`
17×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
15×	`times-frac_binary64`
13×	`associate-l_binary64`
10×	`pow-exp_binary64` `unswap-sqr_binary64`
7×	`pow1_binary64` `cbrt-unprod_binary64` `unpow-prod-down_binary64` `sqrt-prod_binary64`
5×	`cbrt-undiv_binary64`
4×	`add-log-exp_binary64` `sqrt-div_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64` `associate-*r/_binary64` `div-inv_binary64`
2×	`pow-to-exp_binary64` `*-commutative_binary64` `flip3--_binary64` `flip--_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `associate-/r_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `pow-prod-down_binary64`

Counts

4 → 116

Calls

4 calls:

11.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
10.0ms	(/.f64 (.f64 M D) (.f64 2 d))
8.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
4.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))

Compiler

Compiled 3226 to 1835 computations (43.1% saved)

series388.0ms (2.6%)

Error

5.8b

Counts

4 → 57

Calls

4 calls:

137.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
124.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
77.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
34.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 2684 to 2575 computations (4.1% saved)

simplify115.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

628×	`associate-/l/_binary64`
278×	`associate-l_binary64`
253×	`distribute-rgt-neg-in_binary64`
250×	`times-frac_binary64`
239×	`associate-r_binary64`
234×	`distribute-lft-neg-in_binary64`
209×	`associate-/l*_binary64`
153×	`distribute-neg-frac_binary64`
150×	`associate-r/_binary64` `-commutative_binary64`
137×	`cancel-sign-sub-inv_binary64`
126×	`associate-/r*_binary64`
125×	`associate-*l/_binary64`
83×	`unswap-sqr_binary64`
82×	`log-prod_binary64`
73×	`cube-prod_binary64`
66×	`swap-sqr_binary64`
59×	`exp-prod_binary64` `distribute-rgt-in_binary64`
58×	`sqr-pow_binary64`
55×	`neg-sub0_binary64`
54×	`distribute-lft-in_binary64`
50×	`neg-mul-1_binary64`
48×	`log-div_binary64`
46×	`sub-neg_binary64`
39×	`cube-div_binary64`
36×	`-rgt-identity_binary64` `-lft-identity_binary64`
28×	`+-commutative_binary64`
22×	`associate-/r/_binary64`
12×	`distribute-lft-neg-out_binary64`
10×	`distribute-rgt-out_binary64`
9×	`log-pow_binary64`
8×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `cube-unmult_binary64`
7×	`distribute-rgt1-in_binary64`
6×	`/-rgt-identity_binary64` `associate-+r-_binary64`
5×	`unpow3_binary64` `mul-1-neg_binary64` `pow-sqr_binary64` `distribute-lft-out_binary64`
4×	`exp-sqrt_binary64` `rem-sqrt-square_binary64` `distribute-rgt-neg-out_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l+_binary64`
3×	`cube-mult_binary64` `unsub-neg_binary64`
2×	`rem-square-sqrt_binary64` `distribute-neg-in_binary64` `distribute-lft1-in_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `exp-1-e_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_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` `div-sub_binary64` `remove-double-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

173 → 129

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	3951
1	662	3696
2	2842	3695
3	5385	3695

prune136.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	121	8	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	8	130

Error

4.0b

Counts

130 → 8

Compiler

Compiled 2173 to 1268 computations (41.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.7b	(/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)
4.2b	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)))
5.0b	(/.f64 (.f64 M D) (.f64 2 d))
5.2b	(.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2))

rewrite209.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

3.5b

Rules

67×	`add-exp-log_binary64`
26×	`prod-exp_binary64`
23×	`add-cbrt-cube_binary64`
20×	`div-exp_binary64` `add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
10×	`pow-exp_binary64` `add-cube-cbrt_binary64` `associate-r_binary64`
6×	`cbrt-unprod_binary64` `unpow-prod-down_binary64` `cbrt-undiv_binary64` `sqrt-prod_binary64`
5×	`pow1_binary64` `times-frac_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `associate-/r*_binary64`
3×	`associate-l_binary64` `div-inv_binary64`
2×	`pow-to-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64` `sqrt-div_binary64` `difference-of-squares_binary64`
1×	`*-commutative_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `rem-sqrt-square_binary64`

Counts

4 → 99

Calls

4 calls:

7.0ms	(.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2))
7.0ms	(/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)
6.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)))
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 2610 to 1612 computations (38.2% saved)

series328.0ms (2.2%)

Error

4.0b

Counts

4 → 51

Calls

4 calls:

124.0ms	(/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)
84.0ms	(.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2))
77.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)))
33.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 2328 to 2277 computations (2.2% saved)

simplify96.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

803×	`associate-/r/_binary64`
261×	`times-frac_binary64`
215×	`associate-/l*_binary64`
204×	`distribute-rgt-neg-in_binary64`
192×	`distribute-lft-neg-in_binary64`
156×	`distribute-neg-frac_binary64`
153×	`associate-l_binary64`
142×	`associate-r_binary64`
128×	`associate-/r*_binary64`
97×	`cancel-sign-sub-inv_binary64`
93×	`associate-*l/_binary64`
91×	`associate-*r/_binary64`
87×	`*-commutative_binary64`
75×	`unswap-sqr_binary64`
71×	`log-prod_binary64`
63×	`swap-sqr_binary64`
62×	`log-div_binary64`
55×	`sub-neg_binary64`
52×	`exp-prod_binary64`
51×	`cube-prod_binary64`
50×	`sqr-pow_binary64`
48×	`cube-div_binary64`
46×	`neg-sub0_binary64`
43×	`neg-mul-1_binary64`
30×	`distribute-rgt-in_binary64`
26×	`associate-/l/_binary64`
24×	`distribute-lft-in_binary64`
22×	`+-commutative_binary64`
20×	`*-rgt-identity_binary64`
19×	`*-lft-identity_binary64`
12×	`/-rgt-identity_binary64`
11×	`associate--l+_binary64`
10×	`log-pow_binary64`
8×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64`
7×	`cube-unmult_binary64` `distribute-lft-neg-out_binary64`
5×	`unpow3_binary64` `distribute-rgt1-in_binary64`
4×	`log-rec_binary64` `exp-sqrt_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `pow-sqr_binary64` `associate--r+_binary64` `associate-+l+_binary64`
3×	`cube-mult_binary64` `div-sub_binary64` `mul-1-neg_binary64` `distribute-lft-out_binary64`
2×	`rem-square-sqrt_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_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` `+-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

150 → 95

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	3053
1	518	2867
2	2269	2858
3	4987	2858

prune77.0ms (0.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	91	4	95
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	94	9	103

Error

2.8b

Counts

103 → 9

Compiler

Compiled 1102 to 720 computations (34.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.7b	(/.f64 (*.f64 h (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2)) l)
4.2b	(sqrt.f64 (-.f64 1 (/.f64 (*.f64 h (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2)) l)))
5.2b	(*.f64 h (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2))
6.1b	(/.f64 M (/.f64 2 (/.f64 D d)))

rewrite885.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

2.5b

Rules

735×	`times-frac_binary64`
366×	`add-sqr-sqrt_binary64`
347×	`*-un-lft-identity_binary64`
344×	`add-cube-cbrt_binary64`
142×	`associate-r_binary64`
141×	`unpow-prod-down_binary64`
55×	`add-exp-log_binary64`
47×	`associate-/r*_binary64`
31×	`div-inv_binary64`
25×	`div-exp_binary64`
20×	`add-cbrt-cube_binary64`
12×	`prod-exp_binary64`
9×	`associate-/r/_binary64`
8×	`cbrt-undiv_binary64` `pow-exp_binary64`
7×	`unswap-sqr_binary64`
6×	`sqrt-prod_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64` `associate-/l*_binary64`
3×	`associate-l_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `pow-to-exp_binary64` `cbrt-unprod_binary64` `unpow2_binary64` `sqr-pow_binary64` `sqrt-div_binary64` `difference-of-squares_binary64`
1×	`*-commutative_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `rem-sqrt-square_binary64`

Counts

4 → 407

Calls

4 calls:

58.0ms	(*.f64 h (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2))
31.0ms	(/.f64 (*.f64 h (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2)) l)
13.0ms	(/.f64 M (/.f64 2 (/.f64 D d)))
6.0ms	(sqrt.f64 (-.f64 1 (/.f64 (*.f64 h (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2)) l)))

Compiler

Compiled 13034 to 7522 computations (42.3% saved)

series334.0ms (2.2%)

Error

2.8b

Counts

4 → 51

Calls

4 calls:

125.0ms	(/.f64 (*.f64 h (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2)) l)
84.0ms	(*.f64 h (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2))
76.0ms	(sqrt.f64 (-.f64 1 (/.f64 (*.f64 h (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2)) l)))
38.0ms	(/.f64 M (/.f64 2 (/.f64 D d)))

Compiler

Compiled 2328 to 2277 computations (2.2% saved)

simplify224.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

720×	`associate-*l/_binary64`
550×	`associate-/r/_binary64`
394×	`associate-/l/_binary64`
286×	`associate-/r*_binary64`
265×	`associate-/l*_binary64`
254×	`sqr-pow_binary64`
169×	`times-frac_binary64`
163×	`*-commutative_binary64`
125×	`unpow2_binary64`
124×	`unpow1_binary64`
115×	`swap-sqr_binary64`
26×	`sub-neg_binary64`
24×	`distribute-neg-frac_binary64` `distribute-rgt-neg-in_binary64`
22×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`
19×	`distribute-lft-neg-in_binary64`
17×	`associate-*r/_binary64`
13×	`log-div_binary64` `remove-double-div_binary64` `associate-l_binary64`
11×	`/-rgt-identity_binary64`
10×	`log-prod_binary64` `cancel-sign-sub-inv_binary64`
9×	`associate-r_binary64` `+-commutative_binary64`
8×	`exp-prod_binary64` `unswap-sqr_binary64`
6×	`cube-div_binary64`
5×	`cube-unmult_binary64` `rem-square-sqrt_binary64` `associate--l+_binary64`
4×	`pow-plus_binary64` `rem-sqrt-square_binary64`
3×	`unpow3_binary64` `cube-prod_binary64` `mul-1-neg_binary64` `distribute-neg-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
2×	`log-pow_binary64` `*-lft-identity_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64`
1×	`log-rec_binary64` `unpow1/2_binary64` `1-exp_binary64` `cube-mult_binary64` `*-rgt-identity_binary64` `pow-sqr_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out_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` `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` `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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `remove-double-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`

Counts

458 → 328

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	833	11031
1	2018	10660
2	5133	10660

prune434.0ms (2.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	325	3	328
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	326	11	337

Error

2.5b

Counts

337 → 11

Compiler

Compiled 7478 to 4169 computations (44.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.7b	(.f64 D (/.f64 M (.f64 2 d)))
3.7b	(/.f64 (.f64 h (pow.f64 (.f64 D (/.f64 M (*.f64 2 d))) 2)) l)
4.2b	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (.f64 D (/.f64 M (*.f64 2 d))) 2)) l)))
5.2b	(.f64 h (pow.f64 (.f64 D (/.f64 M (*.f64 2 d))) 2))

rewrite218.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

2.5b

Rules

55×	`add-exp-log_binary64`
24×	`prod-exp_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64`
13×	`div-exp_binary64` `associate-r_binary64`
12×	`add-cube-cbrt_binary64`
8×	`pow-exp_binary64`
7×	`pow1_binary64`
6×	`cbrt-unprod_binary64` `associate-l_binary64` `sqrt-prod_binary64` `times-frac_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `cbrt-undiv_binary64`
3×	`associate-/r*_binary64`
2×	`pow-to-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `*-commutative_binary64` `sqrt-div_binary64` `difference-of-squares_binary64` `div-inv_binary64`
1×	`unpow-prod-down_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `rem-sqrt-square_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `pow-prod-down_binary64` `associate-r/_binary64`

Counts

4 → 98

Calls

4 calls:

9.0ms	(.f64 h (pow.f64 (.f64 D (/.f64 M (*.f64 2 d))) 2))
7.0ms	(.f64 D (/.f64 M (.f64 2 d)))
6.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (.f64 D (/.f64 M (*.f64 2 d))) 2)) l)))
6.0ms	(/.f64 (.f64 h (pow.f64 (.f64 D (/.f64 M (*.f64 2 d))) 2)) l)

Compiler

Compiled 2524 to 1691 computations (33% saved)

series337.0ms (2.2%)

Error

2.5b

Counts

4 → 51

Calls

4 calls:

125.0ms	(/.f64 (.f64 h (pow.f64 (.f64 D (/.f64 M (*.f64 2 d))) 2)) l)
86.0ms	(.f64 h (pow.f64 (.f64 D (/.f64 M (*.f64 2 d))) 2))
81.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (.f64 D (/.f64 M (*.f64 2 d))) 2)) l)))
36.0ms	(.f64 D (/.f64 M (.f64 2 d)))

Compiler

Compiled 2328 to 2277 computations (2.2% saved)

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

724×	`associate-/r/_binary64`
482×	`associate-/l/_binary64`
195×	`distribute-rgt-neg-in_binary64`
186×	`associate-l_binary64`
176×	`distribute-lft-neg-in_binary64`
175×	`associate-r_binary64`
159×	`associate-/l*_binary64`
153×	`distribute-neg-frac_binary64`
146×	`times-frac_binary64`
115×	`associate-/r*_binary64`
103×	`*-commutative_binary64`
101×	`associate-*r/_binary64`
85×	`associate-*l/_binary64`
75×	`cancel-sign-sub-inv_binary64`
72×	`log-prod_binary64`
66×	`swap-sqr_binary64`
60×	`log-div_binary64`
57×	`unswap-sqr_binary64`
49×	`sub-neg_binary64`
46×	`exp-prod_binary64` `neg-sub0_binary64`
45×	`sqr-pow_binary64`
42×	`cube-div_binary64` `neg-mul-1_binary64`
39×	`cube-prod_binary64`
26×	`*-rgt-identity_binary64`
24×	`*-lft-identity_binary64` `distribute-rgt-in_binary64`
22×	`distribute-lft-in_binary64` `+-commutative_binary64`
13×	`/-rgt-identity_binary64`
8×	`distribute-lft-neg-out_binary64`
7×	`log-pow_binary64`
6×	`pow-plus_binary64` `cube-unmult_binary64` `rem-sqrt-square_binary64` `associate--l+_binary64`
5×	`unpow3_binary64` `pow-sqr_binary64` `distribute-rgt1-in_binary64`
4×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `associate--r+_binary64` `associate-+l+_binary64`
3×	`cube-mult_binary64` `div-sub_binary64` `unsub-neg_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
2×	`exp-sqrt_binary64` `distribute-neg-in_binary64` `distribute-rgt-out_binary64` `associate-+l-_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `distribute-rgt-neg-out_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_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` `+-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

149 → 88

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	3033
1	503	2904
2	2129	2900
3	5104	2900

prune68.0ms (0.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	89	10	99

Error

2.5b

Counts

99 → 10

Compiler

Compiled 869 to 543 computations (37.5% saved)

regimes6.1s (39.9%)

Accuracy

Total 4.3b remaining (55.2%)

Threshold costs 0b (0%)

Compiler

Compiled 79509 to 74515 computations (6.3% saved)

bsearch11.0ms (0.1%)

Compiler: Compiled 15 to 16 computations (-6.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
18×	`sub-neg_binary64` `+-commutative_binary64`
16×	`neg-mul-1_binary64` `neg-sub0_binary64`
10×	`distribute-rgt-neg-in_binary64`
8×	`distribute-lft-neg-in_binary64`
5×	`cancel-sign-sub-inv_binary64`
4×	`distribute-lft-neg-out_binary64`
3×	`distribute-neg-frac_binary64`
2×	`distribute-rgt-neg-out_binary64`
1×	`1-exp_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` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	143
1	80	143
2	111	143
3	143	143
4	170	143
5	182	143
6	186	143
7	185	143

end12.0ms (0.1%)

Compiler: Compiled 285 to 189 computations (33.7% saved)

sample2.2s (14.5%)

Algorithm

1×

intervals

Results

617.0ms	8000×	body	128	valid
230.0ms	3096×	body	128	nan
92.0ms	1245×	body	128	invalid

Compiler

Compiled 322 to 297 computations (7.8% saved)

Details

analyze2.5s (16.5%)

sample67.0ms (0.4%)

simplify44.0ms (0.3%)

prune2.0ms (0%)

localize13.0ms (0.1%)

rewrite274.0ms (1.8%)

series388.0ms (2.6%)

simplify115.0ms (0.8%)

prune136.0ms (0.9%)

localize16.0ms (0.1%)

rewrite209.0ms (1.4%)

series328.0ms (2.2%)

simplify96.0ms (0.6%)

prune77.0ms (0.5%)

localize14.0ms (0.1%)

rewrite885.0ms (5.8%)

series334.0ms (2.2%)

simplify224.0ms (1.5%)

prune434.0ms (2.8%)

localize14.0ms (0.1%)

rewrite218.0ms (1.4%)

series337.0ms (2.2%)

simplify97.0ms (0.6%)

prune68.0ms (0.4%)

regimes6.1s (39.9%)

bsearch11.0ms (0.1%)

simplify10.0ms (0.1%)

end12.0ms (0.1%)

sample2.2s (14.5%)

Profiling