Details

analyze1.4s (20.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

796×	`div-sub_binary64`
690×	`sub-neg_binary64`
646×	`times-frac_binary64`
453×	`neg-mul-1_binary64`
388×	`neg-sub0_binary64`
375×	`associate-/l*_binary64`
269×	`unsub-neg_binary64`
224×	`distribute-neg-frac_binary64`
204×	`associate-/r*_binary64`
156×	`associate-l_binary64`
151×	`distribute-rgt-in_binary64`
127×	`associate-r_binary64`
118×	`distribute-lft-neg-out_binary64`
117×	`/-rgt-identity_binary64` `associate-+r+_binary64`
115×	`distribute-rgt-neg-out_binary64`
90×	`sub0-neg_binary64` `*-commutative_binary64`
85×	`+-commutative_binary64`
83×	`associate-+l-_binary64`
81×	`associate-+l+_binary64`
77×	`div0_binary64`
76×	`distribute-lft-in_binary64`
73×	`*-lft-identity_binary64`
72×	`associate-/l/_binary64`
66×	`distribute-neg-in_binary64`
65×	`associate-/r/_binary64`
52×	`*-rgt-identity_binary64`
49×	`associate-+r-_binary64`
45×	`distribute-rgt-neg-in_binary64`
42×	`distribute-rgt-out--_binary64`
24×	`distribute-lft-neg-in_binary64` `distribute-rgt-out_binary64`
21×	`distribute-rgt1-in_binary64`
19×	`remove-double-div_binary64`
18×	`--rgt-identity_binary64` `distribute-frac-neg_binary64` `associate-*l/_binary64`
16×	`associate--r+_binary64`
12×	`remove-double-neg_binary64` `+-rgt-identity_binary64` `cancel-sign-sub-inv_binary64`
10×	`distribute-lft1-in_binary64` `associate-*r/_binary64`
9×	`*-inverses_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64`
4×	`+-lft-identity_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` `mul-1-neg_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	175
1	111	175
2	220	175
3	401	175
4	723	175
5	1422	175
6	3024	154
7	3941	154
8	4566	154
9	4620	154
0	4	4
1	4	4

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
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
3.7%	96.1%	0.2%	13
4.2%	94.5%	1.3%	14

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample31.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
4.0ms	79×	body	128	invalid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify99.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

649×	`neg-mul-1_binary64`
622×	`times-frac_binary64`
416×	`div-sub_binary64`
398×	`unsub-neg_binary64`
378×	`sub-neg_binary64`
360×	`distribute-frac-neg_binary64`
351×	`distribute-rgt-in_binary64`
342×	`neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
329×	`cancel-sign-sub-inv_binary64`
310×	`distribute-neg-frac_binary64`
301×	`associate-/l/_binary64`
282×	`distribute-lft-in_binary64`
266×	`associate-/l*_binary64`
214×	`distribute-lft-neg-in_binary64`
183×	`distribute-lft-neg-out_binary64`
141×	`distribute-rgt-neg-out_binary64`
112×	`distribute-rgt-out--_binary64`
92×	`associate-/r*_binary64`
90×	`associate-l_binary64`
82×	`associate--l-_binary64`
79×	`distribute-neg-in_binary64`
71×	`distribute-rgt-out_binary64`
67×	`associate-r_binary64`
63×	`associate--r-_binary64`
62×	`associate--r+_binary64`
57×	`sub0-neg_binary64`
55×	`-lft-identity_binary64` `-commutative_binary64`
51×	`*-rgt-identity_binary64`
47×	`cancel-sign-sub_binary64`
43×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-/r/_binary64`
42×	`/-rgt-identity_binary64`
41×	`remove-double-div_binary64` `associate-+l-_binary64`
40×	`swap-sqr_binary64`
34×	`associate-+l+_binary64`
33×	`remove-double-neg_binary64`
32×	`associate-+r+_binary64` `+-commutative_binary64`
31×	`associate-*l/_binary64`
26×	`+-lft-identity_binary64`
24×	`div0_binary64`
20×	`associate--l+_binary64`
18×	`distribute-rgt1-in_binary64`
17×	`associate-*r/_binary64`
16×	`--rgt-identity_binary64` `+-rgt-identity_binary64`
14×	`associate-+r-_binary64`
9×	`distribute-neg-out_binary64` `distribute-lft-out--_binary64`
8×	`sqr-neg_binary64` `distribute-lft1-in_binary64`
3×	`*-inverses_binary64`
2×	`distribute-lft-out_binary64`
1×	`1-exp_binary64` `mul-1-neg_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` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	28	25
2	52	25
3	92	25
4	178	25
5	317	25
6	633	22
7	1498	19
8	3160	19
9	3961	19
10	4882	19
11	4889	19

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 2

Compiler

Compiled 43 to 41 computations (4.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
0.0b	(+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t))
0.1b	(/.f64 (+.f64 2 (/.f64 2 z)) t)

rewrite130.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
10×	`add-log-exp_binary64`
8×	`distribute-lft-out_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `flip-+_binary64` `associate-/l*_binary64` `sum-log_binary64`
3×	`pow1_binary64` `associate-/r*_binary64`
2×	`associate-/l/_binary64` `+-commutative_binary64` `frac-add_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-+r+_binary64`

Counts

3 → 62

Calls

3 calls:

19.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
16.0ms	(+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t))
9.0ms	(/.f64 (+.f64 2 (/.f64 2 z)) t)

Compiler

Compiled 1350 to 931 computations (31% saved)

series176.0ms (2.6%)

Error

0.0b

Counts

3 → 45

Calls

3 calls:

93.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
37.0ms	(+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t))
26.0ms	(/.f64 (+.f64 2 (/.f64 2 z)) t)

Compiler

Compiled 1268 to 1179 computations (7% saved)

simplify122.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

437×	`div-sub_binary64`
360×	`associate-/l/_binary64`
341×	`associate-/r*_binary64`
333×	`distribute-rgt-in_binary64`
293×	`distribute-lft-in_binary64`
224×	`associate-/r/_binary64`
159×	`distribute-rgt-out_binary64`
156×	`associate-*l/_binary64`
151×	`associate-l_binary64`
142×	`sub-neg_binary64`
140×	`associate-r_binary64`
139×	`associate-*r/_binary64`
129×	`*-commutative_binary64`
121×	`associate-/l*_binary64`
99×	`cancel-sign-sub-inv_binary64`
98×	`associate-+l+_binary64`
94×	`associate-+r+_binary64`
83×	`unsub-neg_binary64`
81×	`distribute-neg-in_binary64`
74×	`+-commutative_binary64`
72×	`distribute-neg-frac_binary64`
69×	`distribute-rgt-neg-in_binary64`
60×	`distribute-lft-neg-in_binary64`
57×	`times-frac_binary64`
52×	`distribute-lft-neg-out_binary64`
47×	`distribute-rgt-neg-out_binary64`
46×	`neg-sub0_binary64`
38×	`neg-mul-1_binary64`
33×	`distribute-lft-out_binary64`
32×	`associate--l+_binary64`
30×	`associate-+l-_binary64`
27×	`sqr-pow_binary64`
25×	`distribute-rgt-out--_binary64`
21×	`exp-sum_binary64` `associate--r+_binary64`
18×	`associate-+r-_binary64`
17×	`distribute-rgt1-in_binary64`
15×	`cube-div_binary64` `cube-prod_binary64`
14×	`unpow3_binary64` `*-lft-identity_binary64`
13×	`exp-prod_binary64` `exp-diff_binary64` `*-rgt-identity_binary64` `+-rgt-identity_binary64`
11×	`log-div_binary64` `log-prod_binary64` `sub0-neg_binary64`
9×	`cube-unmult_binary64`
8×	`cube-mult_binary64`
7×	`/-rgt-identity_binary64`
6×	`prod-exp_binary64` `unswap-sqr_binary64` `distribute-frac-neg_binary64`
5×	`swap-sqr_binary64`
4×	`distribute-lft1-in_binary64`
3×	`exp-lft-sqr_binary64` `remove-double-neg_binary64`
2×	`difference-of-squares_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `div0_binary64` `remove-double-div_binary64` `distribute-lft-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` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_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-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_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-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `associate--r-_binary64`

Counts

107 → 68

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	1959
1	363	1918
2	934	1915
3	2815	1915
4	4783	1915
5	5688	1915

prune55.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	6	70

Error

0.0b

Counts

70 → 6

Compiler

Compiled 889 to 636 computations (28.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) (cbrt.f64 (+.f64 2 (/.f64 2 z)))) (/.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) t))
0.8b	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
0.8b	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
0.8b	(cbrt.f64 (+.f64 2 (/.f64 2 z)))

rewrite246.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`*-un-lft-identity_binary64`
30×	`cbrt-div_binary64`
26×	`add-sqr-sqrt_binary64`
25×	`cbrt-prod_binary64` `associate-r_binary64`
23×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64` `frac-times_binary64`
15×	`flip3-+_binary64` `flip-+_binary64`
12×	`associate-*l/_binary64`
10×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
6×	`distribute-lft-out_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
5×	`associate-*r/_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64`
1×	`associate-l_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 106

Calls

4 calls:

30.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) (cbrt.f64 (+.f64 2 (/.f64 2 z)))) (/.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) t))
8.0ms	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
6.0ms	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
6.0ms	(cbrt.f64 (+.f64 2 (/.f64 2 z)))

Compiler

Compiled 4080 to 3172 computations (22.3% saved)

series135.0ms (2%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

31.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) (cbrt.f64 (+.f64 2 (/.f64 2 z)))) (/.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) t))
25.0ms	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
24.0ms	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
23.0ms	(cbrt.f64 (+.f64 2 (/.f64 2 z)))

Compiler

Compiled 2216 to 1972 computations (11% saved)

simplify158.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

593×	`distribute-rgt-in_binary64`
543×	`associate-/l*_binary64`
330×	`associate-*r/_binary64`
310×	`times-frac_binary64`
286×	`*-commutative_binary64`
276×	`associate-*l/_binary64`
181×	`associate-l_binary64`
171×	`associate-/r*_binary64`
153×	`associate-r_binary64`
141×	`associate-/l/_binary64`
88×	`cancel-sign-sub-inv_binary64`
84×	`distribute-lft-in_binary64` `associate-/r/_binary64`
73×	`*-lft-identity_binary64`
66×	`distribute-rgt-neg-in_binary64`
65×	`*-rgt-identity_binary64`
64×	`neg-mul-1_binary64`
59×	`sqr-pow_binary64`
58×	`distribute-lft-neg-in_binary64`
57×	`sub-neg_binary64`
56×	`neg-sub0_binary64` `unswap-sqr_binary64`
53×	`/-rgt-identity_binary64` `distribute-rgt-out_binary64`
46×	`distribute-neg-frac_binary64`
36×	`exp-prod_binary64`
29×	`+-commutative_binary64`
27×	`log-div_binary64` `cube-div_binary64` `div-sub_binary64`
25×	`log-prod_binary64`
24×	`cube-prod_binary64`
22×	`swap-sqr_binary64`
21×	`distribute-rgt-out--_binary64`
19×	`distribute-lft-out_binary64`
18×	`distribute-rgt1-in_binary64` `associate-+l+_binary64`
17×	`unpow3_binary64`
15×	`exp-sum_binary64`
14×	`associate-+l-_binary64`
13×	`associate-+r-_binary64` `associate-+r+_binary64`
12×	`cube-mult_binary64`
11×	`pow-sqr_binary64` `distribute-neg-in_binary64`
10×	`remove-double-div_binary64`
9×	`prod-exp_binary64` `cube-unmult_binary64` `unsub-neg_binary64` `+-rgt-identity_binary64`
7×	`pow-plus_binary64` `exp-diff_binary64`
6×	`log-pow_binary64` `log-rec_binary64` `div-exp_binary64`
5×	`rem-sqrt-square_binary64` `sub0-neg_binary64` `distribute-lft1-in_binary64` `associate--l+_binary64`
4×	`unpow1/2_binary64` `exp-to-pow_binary64` `distribute-lft-neg-out_binary64`
3×	`unpow1/3_binary64` `unpow2_binary64` `exp-neg_binary64` `rem-exp-log_binary64` `distribute-lft-out--_binary64` `associate--r+_binary64`
2×	`distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `div0_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` `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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

139 → 101

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	179	3393
1	445	3156
2	1362	3111
3	3518	3069
4	4791	2757
5	4933	2757

prune122.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	100	7	107

Error

Counts

107 → 7

Compiler

Compiled 2375 to 1793 computations (24.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)) (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)))
0.7b	(cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
0.7b	(cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
0.7b	(cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))

rewrite237.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `swap-sqr_binary64`
7×	`associate-l_binary64` `associate-r_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

30.0ms	(*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)) (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)))
14.0ms	(cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
12.0ms	(cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
12.0ms	(cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))

Compiler

Compiled 4243 to 3306 computations (22.1% saved)

series701.0ms (10.5%)

Error

Counts

4 → 68

Calls

4 calls:

248.0ms	(*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)) (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)))
99.0ms	(cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
97.0ms	(cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
97.0ms	(cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))

Compiler

Compiled 12938 to 10843 computations (16.2% saved)

simplify204.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

342×	`associate-r_binary64`
281×	`sub-neg_binary64`
255×	`associate-l_binary64`
251×	`*-commutative_binary64`
189×	`+-commutative_binary64`
168×	`unswap-sqr_binary64`
165×	`associate-+r+_binary64`
149×	`associate-*r/_binary64`
141×	`times-frac_binary64` `associate-/l*_binary64`
136×	`associate-/r*_binary64`
126×	`associate-+l+_binary64`
116×	`associate-*l/_binary64`
112×	`neg-mul-1_binary64` `neg-sub0_binary64`
93×	`associate--r+_binary64`
87×	`cancel-sign-sub-inv_binary64`
80×	`sqr-pow_binary64`
62×	`associate--l+_binary64`
61×	`unsub-neg_binary64`
43×	`distribute-neg-in_binary64`
40×	`distribute-rgt-out_binary64`
23×	`log-prod_binary64`
21×	`exp-prod_binary64` `distribute-rgt-neg-in_binary64`
20×	`*-rgt-identity_binary64` `distribute-lft-neg-in_binary64`
19×	`distribute-rgt-in_binary64`
16×	`exp-sum_binary64`
15×	`distribute-lft-in_binary64` `associate-/r/_binary64`
12×	`unpow1/3_binary64`
11×	`cube-prod_binary64`
10×	`*-lft-identity_binary64`
9×	`distribute-lft-out_binary64`
8×	`exp-diff_binary64` `div-sub_binary64` `pow-sqr_binary64`
7×	`cube-unmult_binary64` `associate-/l/_binary64`
6×	`log-pow_binary64` `unpow2_binary64`
5×	`log-div_binary64` `unpow1/2_binary64` `unpow1_binary64` `/-rgt-identity_binary64`
4×	`unpow3_binary64` `pow-plus_binary64` `cube-mult_binary64` `swap-sqr_binary64` `distribute-rgt-out--_binary64`
3×	`rem-sqrt-square_binary64` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `associate-+l-_binary64`
2×	`rem-3cbrt-lft_binary64` `associate--l-_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `distribute-lft-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_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-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` `mul-1-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-rgt-neg-out_binary64` `associate--r-_binary64`

Counts

163 → 150

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	393	9157
1	1116	8220
2	4267	7792
3	5163	7792

prune463.0ms (7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	150	7	157

Error

Counts

157 → 7

Compiler

Compiled 7273 to 5445 computations (25.1% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.8b	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
0.8b	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
0.8b	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
0.8b	(cbrt.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))))

rewrite162.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`cbrt-prod_binary64`
17×	`*-un-lft-identity_binary64`
10×	`cbrt-div_binary64`
9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`pow1/3_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64`

Counts

4 → 59

Calls

4 calls:

8.0ms	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
7.0ms	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
7.0ms	(cbrt.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))))
6.0ms	(cbrt.f64 (+.f64 2 (/.f64 2 z)))

Compiler

Compiled 2694 to 1946 computations (27.8% saved)

series155.0ms (2.3%)

Error

Counts

4 → 32

Calls

4 calls:

29.0ms	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
28.0ms	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
27.0ms	(cbrt.f64 (+.f64 2 (/.f64 2 z)))
27.0ms	(cbrt.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))))

Compiler

Compiled 3388 to 2800 computations (17.4% saved)

simplify103.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

622×	`cancel-sign-sub-inv_binary64`
525×	`times-frac_binary64`
322×	`associate-*l/_binary64`
305×	`associate-/l*_binary64`
268×	`associate-/r*_binary64`
254×	`*-commutative_binary64`
242×	`associate-*r/_binary64`
206×	`unswap-sqr_binary64`
155×	`associate-r_binary64`
145×	`distribute-rgt-neg-in_binary64`
142×	`associate-l_binary64`
133×	`sub-neg_binary64`
125×	`distribute-lft-neg-in_binary64`
88×	`sqr-pow_binary64`
87×	`neg-mul-1_binary64`
83×	`neg-sub0_binary64`
71×	`associate-/l/_binary64`
70×	`distribute-neg-frac_binary64`
59×	`div-sub_binary64`
58×	`distribute-rgt-out_binary64`
53×	`distribute-rgt-out--_binary64`
51×	`+-commutative_binary64`
48×	`distribute-lft-out_binary64`
41×	`associate-/r/_binary64`
37×	`*-lft-identity_binary64`
36×	`*-rgt-identity_binary64`
31×	`exp-prod_binary64` `exp-sum_binary64`
25×	`associate-+l-_binary64`
23×	`pow-sqr_binary64`
19×	`swap-sqr_binary64` `distribute-lft-out--_binary64` `distribute-rgt-in_binary64` `associate-+l+_binary64`
18×	`unsub-neg_binary64`
16×	`sub0-neg_binary64` `distribute-lft-in_binary64`
15×	`associate-+r-_binary64`
13×	`+-rgt-identity_binary64`
12×	`pow-plus_binary64` `cube-unmult_binary64`
11×	`prod-exp_binary64` `cube-prod_binary64`
10×	`cube-div_binary64` `associate--l+_binary64`
9×	`log-prod_binary64` `exp-diff_binary64` `distribute-rgt1-in_binary64` `associate--r+_binary64` `associate-+r+_binary64`
8×	`div-exp_binary64` `/-rgt-identity_binary64`
7×	`exp-to-pow_binary64`
6×	`log-pow_binary64` `unpow3_binary64`
5×	`exp-neg_binary64` `distribute-lft-neg-out_binary64`
4×	`log-div_binary64` `rem-sqrt-square_binary64` `div0_binary64` `distribute-rgt-neg-out_binary64`
3×	`unpow1/3_binary64` `rem-exp-log_binary64` `cube-mult_binary64`
2×	`unpow2_binary64` `rem-3cbrt-lft_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
1×	`unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-in_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` `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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_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-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

91 → 50

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	83	1623
1	188	1449
2	448	1407
3	1343	1289
4	3914	1273
5	5157	1273

prune73.0ms (1.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	50	7	57

Error

Counts

57 → 7

Compiler

Compiled 1480 to 1041 computations (29.7% saved)

regimes671.0ms (10.1%)

Accuracy

Total 0.1b remaining (79%)

Threshold costs 0.1b (79%)

Compiler

Compiled 8676 to 8234 computations (5.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3× +-commutative_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 *-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	16	19
2	16	19

end1.0ms (0%)

Compiler: Compiled 13 to 13 computations (0% saved)

sample1.2s (17.6%)

Algorithm

1×

intervals

Results

417.0ms	8000×	body	128	valid
119.0ms	2405×	body	128	invalid

Compiler

Compiled 219 to 218 computations (0.5% saved)

Details

analyze1.4s (20.6%)

sample31.0ms (0.5%)

simplify99.0ms (1.5%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite130.0ms (2%)

series176.0ms (2.6%)

simplify122.0ms (1.8%)

prune55.0ms (0.8%)

localize14.0ms (0.2%)

rewrite246.0ms (3.7%)

series135.0ms (2%)

simplify158.0ms (2.4%)

prune122.0ms (1.8%)

localize15.0ms (0.2%)

rewrite237.0ms (3.6%)

series701.0ms (10.5%)

simplify204.0ms (3.1%)

prune463.0ms (7%)

localize24.0ms (0.4%)

rewrite162.0ms (2.4%)

series155.0ms (2.3%)

simplify103.0ms (1.5%)

prune73.0ms (1.1%)

regimes671.0ms (10.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.2s (17.6%)

Profiling