Details

analyze1.1s (17.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

952×	`div-sub_binary64`
676×	`neg-mul-1_binary64`
531×	`unsub-neg_binary64`
415×	`sub-neg_binary64`
310×	`distribute-frac-neg_binary64`
298×	`distribute-rgt-in_binary64`
257×	`distribute-lft-in_binary64`
250×	`times-frac_binary64`
247×	`distribute-neg-in_binary64`
227×	`neg-sub0_binary64`
208×	`cancel-sign-sub-inv_binary64`
127×	`distribute-neg-frac_binary64`
121×	`+-commutative_binary64`
111×	`*-lft-identity_binary64`
107×	`associate-/l*_binary64`
91×	`distribute-neg-out_binary64`
88×	`associate-+r+_binary64`
80×	`associate-+l+_binary64`
76×	`sub0-neg_binary64`
69×	`div0_binary64`
68×	`associate--r+_binary64`
66×	`associate-+l-_binary64`
63×	`*-commutative_binary64`
61×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-l/_binary64` `associate-r/_binary64`
55×	`associate-r_binary64`
51×	`associate-/r/_binary64`
49×	`distribute-rgt-neg-out_binary64`
48×	`associate-l_binary64` `associate-+r-_binary64`
47×	`cancel-sign-sub_binary64` `distribute-lft-neg-out_binary64`
40×	`+-rgt-identity_binary64`
30×	`remove-double-neg_binary64`
29×	`+-lft-identity_binary64`
25×	`associate--r-_binary64`
16×	`distribute-rgt-neg-in_binary64`
10×	`*-inverses_binary64`
7×	`mul-1-neg_binary64`
6×	`associate--l+_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` `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` `/-rgt-identity_binary64` `-rgt-identity_binary64` `--rgt-identity_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` `swap-sqr_binary64` `distribute-lft-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-/l/_binary64` `associate-/r_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	176
1	138	176
2	259	176
3	485	176
4	1065	176
5	2591	176
6	4225	176
7	4851	176
8	4998	176
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
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample29.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify300.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1012×	`div-sub_binary64`
940×	`distribute-rgt-in_binary64`
888×	`distribute-lft-in_binary64`
810×	`sub-neg_binary64`
619×	`times-frac_binary64`
363×	`neg-mul-1_binary64`
341×	`associate-/l*_binary64`
340×	`unsub-neg_binary64`
339×	`neg-sub0_binary64`
335×	`cancel-sign-sub-inv_binary64`
333×	`distribute-neg-frac_binary64`
330×	`*-commutative_binary64`
312×	`distribute-rgt-neg-in_binary64`
292×	`associate-/r*_binary64`
268×	`distribute-rgt-neg-out_binary64`
229×	`distribute-lft-neg-out_binary64`
216×	`associate--r+_binary64`
195×	`associate-/r/_binary64`
191×	`distribute-lft-neg-in_binary64`
181×	`associate-*l/_binary64`
180×	`associate-/l/_binary64`
168×	`distribute-frac-neg_binary64`
156×	`associate-*r/_binary64`
153×	`associate-r_binary64`
129×	`remove-double-neg_binary64`
128×	`associate--r-_binary64`
102×	`-lft-identity_binary64` `associate-l*_binary64`
101×	`+-commutative_binary64`
72×	`distribute-neg-in_binary64`
67×	`associate--l+_binary64`
64×	`associate-+l+_binary64`
62×	`distribute-rgt-out--_binary64`
58×	`div0_binary64` `associate-+r+_binary64`
51×	`+-rgt-identity_binary64` `associate-+r-_binary64`
48×	`distribute-rgt-out_binary64`
43×	`distribute-neg-out_binary64`
40×	`associate--l-_binary64` `associate-+l-_binary64`
33×	`--rgt-identity_binary64`
30×	`distribute-lft-out--_binary64`
27×	`mul0-rgt_binary64`
26×	`/-rgt-identity_binary64`
24×	`*-rgt-identity_binary64`
23×	`sub0-neg_binary64`
22×	`mul0-lft_binary64`
20×	`distribute-lft-out_binary64`
14×	`remove-double-div_binary64`
11×	`+-lft-identity_binary64`
7×	`cancel-sign-sub_binary64`
2×	`mul-1-neg_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_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-lft1-in_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	21	16
2	38	16
3	72	16
4	145	16
5	264	16
6	545	16
7	1359	16
8	2709	16
9	2877	16
10	3267	16
11	3331	16
12	3346	16
13	3409	16
14	3805	16
15	3555	16
16	3791	16
17	3783	16
18	3821	16
19	3821	16
20	3859	16
21	3859	16
22	5599	16

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

1.1b

Counts

1 → 1

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.6b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite125.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

76×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `associate-/l_binary64` `associate-/r_binary64`
4×	`associate-/r/_binary64`
3×	`associate-l_binary64` `flip3--_binary64` `flip--_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 113

Calls

3 calls:

15.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
8.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

Compiler

Compiled 1958 to 420 computations (78.5% saved)

series296.0ms (4.8%)

Error

0.0b

Counts

3 → 87

Calls

3 calls:

111.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
78.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
54.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

Compiler

Compiled 3608 to 2359 computations (34.6% saved)

simplify209.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

859×	`times-frac_binary64`
480×	`cancel-sign-sub-inv_binary64`
334×	`sub-neg_binary64`
184×	`div-sub_binary64`
142×	`associate--l+_binary64`
140×	`+-commutative_binary64`
138×	`associate-/l*_binary64`
134×	`associate-l_binary64`
132×	`associate-r_binary64`
116×	`associate--r+_binary64`
104×	`neg-sub0_binary64`
97×	`neg-mul-1_binary64`
96×	`*-commutative_binary64`
86×	`associate-+l+_binary64`
75×	`associate-*r/_binary64`
62×	`associate-/r*_binary64`
60×	`associate-+r+_binary64`
55×	`distribute-rgt-in_binary64`
51×	`unsub-neg_binary64` `distribute-lft-in_binary64`
49×	`associate-*l/_binary64`
46×	`*-rgt-identity_binary64`
41×	`associate-/l/_binary64`
36×	`sqr-pow_binary64`
32×	`*-lft-identity_binary64`
31×	`associate-/r/_binary64`
30×	`cube-prod_binary64`
25×	`distribute-neg-in_binary64`
23×	`log-prod_binary64`
22×	`unswap-sqr_binary64`
21×	`exp-prod_binary64`
19×	`unpow3_binary64`
18×	`exp-sum_binary64`
17×	`distribute-rgt-neg-in_binary64`
16×	`log-div_binary64` `/-rgt-identity_binary64`
13×	`distribute-neg-frac_binary64`
12×	`cube-div_binary64` `distribute-lft-neg-in_binary64`
8×	`exp-diff_binary64`
7×	`cube-unmult_binary64` `mul-1-neg_binary64`
6×	`cube-mult_binary64`
5×	`difference-of-squares_binary64`
4×	`swap-sqr_binary64` `distribute-lft-neg-out_binary64`
3×	`unpow1/2_binary64` `pow-plus_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`log-rec_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `div0_binary64` `*-inverses_binary64` `pow-sqr_binary64` `distribute-rgt-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` `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` `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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

200 → 123

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	288	4572
1	806	4305
2	2845	4266
3	4625	4254
4	4988	4254
5	4972	4254

prune72.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	118	5	123
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	118	6	124

Error

0.0b

Counts

124 → 6

Compiler

Compiled 1763 to 468 computations (73.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z t))
0.5b	(cbrt.f64 (-.f64 z t))
0.5b	(cbrt.f64 (-.f64 z t))
2.6b	(.f64 y (.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t))))

rewrite122.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`cbrt-div_binary64`
22×	`add-exp-log_binary64` `associate-*r/_binary64`
16×	`add-cbrt-cube_binary64` `frac-times_binary64`
15×	`flip3--_binary64` `flip--_binary64` `cbrt-prod_binary64`
14×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
13×	`pow1_binary64`
12×	`associate-*l/_binary64`
11×	`prod-exp_binary64` `cbrt-unprod_binary64`
8×	`add-cube-cbrt_binary64`
6×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64`
3×	`associate-l_binary64` `pow1/3_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64`
1×	`associate-r_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

26.0ms	(.f64 y (.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t))))
3.0ms	(cbrt.f64 (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 z t))

Compiler

Compiled 2665 to 518 computations (80.6% saved)

series236.0ms (3.8%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

87.0ms	(.f64 y (.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t))))
36.0ms	(cbrt.f64 (-.f64 z t))
35.0ms	(cbrt.f64 (-.f64 z t))
34.0ms	(cbrt.f64 (-.f64 z t))

Compiler

Compiled 3821 to 2601 computations (31.9% saved)

simplify106.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

581×	`associate-/l*_binary64`
490×	`times-frac_binary64`
236×	`cancel-sign-sub-inv_binary64`
231×	`associate-r_binary64`
226×	`associate-l_binary64`
181×	`distribute-rgt-in_binary64`
161×	`distribute-lft-in_binary64`
152×	`sub-neg_binary64`
150×	`*-commutative_binary64`
112×	`associate-/r/_binary64`
77×	`distribute-rgt-neg-in_binary64`
71×	`distribute-lft-neg-in_binary64`
63×	`+-commutative_binary64`
62×	`sqr-pow_binary64` `associate-/l/_binary64`
58×	`unswap-sqr_binary64`
51×	`associate-*r/_binary64`
50×	`associate--r+_binary64`
48×	`distribute-neg-in_binary64`
43×	`neg-sub0_binary64`
41×	`associate-+l+_binary64`
40×	`associate--l+_binary64`
39×	`distribute-neg-frac_binary64`
37×	`div-sub_binary64` `associate-/r*_binary64`
34×	`distribute-rgt-out_binary64`
33×	`neg-mul-1_binary64`
31×	`associate-+r+_binary64`
30×	`unsub-neg_binary64`
27×	`associate-*l/_binary64`
19×	`exp-prod_binary64`
15×	`log-prod_binary64`
14×	`swap-sqr_binary64`
12×	`log-div_binary64` `cube-prod_binary64` `mul-1-neg_binary64`
11×	`distribute-lft-neg-out_binary64`
8×	`cube-unmult_binary64` `cube-div_binary64` `distribute-rgt-neg-out_binary64`
7×	`unpow1/3_binary64` `exp-sum_binary64` `distribute-rgt-out--_binary64`
5×	`difference-of-squares_binary64` `associate-+r-_binary64`
4×	`unpow3_binary64` `cube-mult_binary64` `distribute-rgt1-in_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-diff_binary64` `pow-sqr_binary64`
2×	`log-pow_binary64` `pow-plus_binary64` `rem-sqrt-square_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate-+l-_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `distribute-frac-neg_binary64` `count-2_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` `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-neg_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-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `-rgt-identity_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-lft-out_binary64` `associate--l-_binary64`

Counts

150 → 98

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	3425
1	620	3221
2	1958	3116
3	5010	3116

prune66.0ms (1.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	98	6	104

Error

0.0b

Counts

104 → 6

Compiler

Compiled 1855 to 653 computations (64.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
0.2b	(pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3)
2.6b	(*.f64 y (cbrt.f64 (pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3)))
15.5b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3))

rewrite291.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

246×	`add-sqr-sqrt_binary64`
231×	`*-un-lft-identity_binary64`
177×	`times-frac_binary64`
142×	`cbrt-prod_binary64`
95×	`unpow-prod-down_binary64` `cube-prod_binary64`
87×	`add-cube-cbrt_binary64`
72×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
71×	`associate-r_binary64`
14×	`associate-/r/_binary64`
11×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
8×	`flip3--_binary64` `flip--_binary64`
7×	`pow1_binary64` `div-inv_binary64` `unswap-sqr_binary64`
5×	`associate-/l_binary64` `associate-/r_binary64`
4×	`add-log-exp_binary64` `sqr-pow_binary64`
3×	`cube-div_binary64` `unpow3_binary64` `cube-mult_binary64` `associate-l_binary64` `pow-unpow_binary64`
2×	`cbrt-div_binary64` `div-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
1×	`pow1/3_binary64` `rem-cbrt-cube_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `-commutative_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64`

Counts

4 → 305

Calls

4 calls:

31.0ms	(*.f64 y (cbrt.f64 (pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3)))
13.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
12.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3))
11.0ms	(pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3)

Compiler

Compiled 4291 to 1523 computations (64.5% saved)

series499.0ms (8.1%)

Error

0.0b

Counts

4 → 109

Calls

4 calls:

167.0ms	(pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3)
89.0ms	(*.f64 y (cbrt.f64 (pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3)))
66.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3))
57.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

Compiler

Compiled 7389 to 5424 computations (26.6% saved)

simplify234.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

398×	`associate-/l*_binary64`
381×	`times-frac_binary64`
258×	`associate-l_binary64`
232×	`associate-/r*_binary64`
193×	`associate-*l/_binary64`
175×	`associate-*r/_binary64`
148×	`sub-neg_binary64`
133×	`*-commutative_binary64`
117×	`sqr-pow_binary64`
116×	`+-commutative_binary64`
69×	`associate-/r/_binary64` `associate-+r+_binary64`
65×	`distribute-neg-in_binary64`
52×	`unpow3_binary64` `cube-mult_binary64`
50×	`distribute-rgt-in_binary64`
49×	`distribute-lft-in_binary64`
47×	`div-sub_binary64` `neg-sub0_binary64`
46×	`associate-/l/_binary64`
42×	`cube-div_binary64`
40×	`rem-cbrt-cube_binary64`
37×	`neg-mul-1_binary64`
36×	`cancel-sign-sub-inv_binary64`
34×	`associate--l+_binary64`
28×	`associate--r+_binary64`
25×	`associate-r_binary64`
22×	`unswap-sqr_binary64`
19×	`distribute-neg-frac_binary64`
17×	`mul-1-neg_binary64`
12×	`exp-prod_binary64`
11×	`log-prod_binary64`
10×	`swap-sqr_binary64` `distribute-rgt-neg-in_binary64`
9×	`distribute-lft-neg-in_binary64`
7×	`cube-prod_binary64`
6×	`log-div_binary64` `/-rgt-identity_binary64`
5×	`distribute-rgt-out_binary64`
4×	`unpow1_binary64` `pow-sqr_binary64`
3×	`log-pow_binary64` `unpow2_binary64` `cube-unmult_binary64` `rem-cube-cbrt_binary64` `rem-sqrt-square_binary64`
2×	`rem-square-sqrt_binary64` `difference-of-squares_binary64`
1×	`unpow1/2_binary64` `pow-plus_binary64` `exp-diff_binary64` `exp-sum_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `-rgt-identity_binary64` `-inverses_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-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` `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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_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` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `*-lft-identity_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` `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-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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-+l+_binary64`

Counts

414 → 330

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	599	11699
1	1722	11197
2	5027	11197

prune191.0ms (3.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	329	1	330
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	329	7	336

Error

Counts

336 → 7

Compiler

Compiled 5006 to 1993 computations (60.2% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)) x)
0.0b	(*.f64 (-.f64 z t) y)
12.0b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

rewrite82.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `times-frac_binary64` `associate-/r_binary64` `associate-l*_binary64`
4×	`associate-*l/_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip3--_binary64` `flip--_binary64` `associate-r_binary64`
2×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

3 → 63

Calls

3 calls:

11.0ms	(+.f64 (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)) x)
9.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
7.0ms	(*.f64 (-.f64 z t) y)

Compiler

Compiled 1121 to 267 computations (76.2% saved)

series252.0ms (4.1%)

Error

Counts

3 → 78

Calls

3 calls:

111.0ms	(+.f64 (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)) x)
75.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
29.0ms	(*.f64 (-.f64 z t) y)

Compiler

Compiled 2873 to 1887 computations (34.3% saved)

simplify130.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

395×	`distribute-rgt-in_binary64`
383×	`div-sub_binary64`
367×	`distribute-lft-in_binary64`
339×	`cancel-sign-sub-inv_binary64`
255×	`sub-neg_binary64`
159×	`neg-mul-1_binary64`
139×	`associate-/l*_binary64`
109×	`+-commutative_binary64`
103×	`associate--l+_binary64`
81×	`times-frac_binary64`
80×	`associate-l_binary64`
79×	`associate--r+_binary64`
77×	`*-commutative_binary64`
66×	`associate-+l+_binary64`
60×	`associate-r_binary64`
59×	`distribute-neg-frac_binary64`
53×	`exp-prod_binary64`
48×	`distribute-neg-in_binary64` `distribute-rgt-neg-in_binary64`
45×	`neg-sub0_binary64` `associate-+r+_binary64`
44×	`distribute-lft-neg-in_binary64`
43×	`associate-/r*_binary64`
40×	`sqr-pow_binary64`
37×	`distribute-rgt-out_binary64` `associate-*l/_binary64`
34×	`unsub-neg_binary64` `distribute-lft-neg-out_binary64`
33×	`associate-/l/_binary64`
32×	`cube-div_binary64` `associate-/r/_binary64`
30×	`log-div_binary64` `cube-prod_binary64`
29×	`exp-sum_binary64` `distribute-rgt-neg-out_binary64` `associate-*r/_binary64`
26×	`*-rgt-identity_binary64`
22×	`log-prod_binary64`
20×	`exp-diff_binary64` `/-rgt-identity_binary64`
17×	`unpow3_binary64`
14×	`unswap-sqr_binary64`
13×	`cube-mult_binary64` `distribute-rgt-out--_binary64`
10×	`*-lft-identity_binary64`
9×	`difference-of-squares_binary64`
5×	`log-rec_binary64` `cube-unmult_binary64` `swap-sqr_binary64`
4×	`mul-1-neg_binary64` `distribute-rgt1-in_binary64`
3×	`unpow1/2_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `pow-sqr_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `div0_binary64` `distribute-lft1-in_binary64` `associate-+l-_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` `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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

141 → 117

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	3030
1	603	2715
2	2189	2550
3	4348	2550
4	5004	2550

prune67.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	2	3
Picked	0	1	1
Done	2	1	3
Total	119	5	124

Error

Counts

124 → 5

Compiler

Compiled 1293 to 379 computations (70.7% saved)

regimes837.0ms (13.6%)

Accuracy

Total 0.4b remaining (95.9%)

Threshold costs 0.4b (95.9%)

Compiler

Compiled 8048 to 6832 computations (15.1% saved)

bsearch17.0ms (0.3%)

Steps

Iters	Range		Point
1	1.7157965444910528e-82	2.7879705740933204e-77	6.6055987616284395e-80
6	-9.58429146205523e-12	-1.179668831303282e-12	-3.330119523751433e-12

Compiler

Compiled 1 to 5 computations (-400% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
3×	`sub-neg_binary64` `*-commutative_binary64`
1×	`if-if-or-not_binary64` `neg-mul-1_binary64` `neg-sub0_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_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` `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-inv_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` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	31	46
2	37	46
3	39	46
4	40	46
5	40	46

end1.0ms (0%)

Compiler: Compiled 31 to 20 computations (35.5% saved)

sample903.0ms (14.6%)

Algorithm

1×

intervals

Results

332.0ms	7997×	body	128	valid
26.0ms	717×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 159 to 132 computations (17% saved)

Details

analyze1.1s (17.1%)

sample29.0ms (0.5%)

simplify300.0ms (4.9%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite125.0ms (2%)

series296.0ms (4.8%)

simplify209.0ms (3.4%)

prune72.0ms (1.2%)

localize12.0ms (0.2%)

rewrite122.0ms (2%)

series236.0ms (3.8%)

simplify106.0ms (1.7%)

prune66.0ms (1.1%)

localize11.0ms (0.2%)

rewrite291.0ms (4.7%)

series499.0ms (8.1%)

simplify234.0ms (3.8%)

prune191.0ms (3.1%)

localize11.0ms (0.2%)

rewrite82.0ms (1.3%)

series252.0ms (4.1%)

simplify130.0ms (2.1%)

prune67.0ms (1.1%)

regimes837.0ms (13.6%)

bsearch17.0ms (0.3%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample903.0ms (14.6%)

Profiling