Details

analyze432.0ms (15.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

499×	`sub-neg_binary64`
494×	`associate-/l*_binary64`
453×	`associate-/r*_binary64`
448×	`neg-mul-1_binary64`
410×	`neg-sub0_binary64`
328×	`distribute-rgt-in_binary64`
319×	`cancel-sign-sub-inv_binary64`
309×	`distribute-neg-frac_binary64`
301×	`distribute-frac-neg_binary64`
258×	`div-sub_binary64`
209×	`associate--r+_binary64`
184×	`unsub-neg_binary64`
166×	`distribute-lft-in_binary64`
162×	`associate-l_binary64`
159×	`associate-r_binary64`
140×	`associate-+r+_binary64`
136×	`associate-+l+_binary64`
132×	`+-commutative_binary64`
116×	`associate-+l-_binary64`
96×	`associate--l+_binary64`
80×	`associate-/r/_binary64`
72×	`associate-+r-_binary64`
71×	`distribute-neg-in_binary64`
66×	`/-rgt-identity_binary64`
55×	`cancel-sign-sub_binary64`
54×	`*-commutative_binary64`
51×	`distribute-lft-neg-in_binary64`
50×	`distribute-rgt-neg-in_binary64` `distribute-rgt-out--_binary64`
49×	`associate-*l/_binary64`
48×	`sub0-neg_binary64`
44×	`associate--r-_binary64`
38×	`associate-*r/_binary64`
32×	`distribute-lft-neg-out_binary64`
31×	`distribute-rgt-neg-out_binary64`
26×	`associate--l-_binary64`
24×	`distribute-rgt-out_binary64`
22×	`+-rgt-identity_binary64`
20×	`+-lft-identity_binary64`
15×	`remove-double-neg_binary64`
12×	`*-rgt-identity_binary64`
11×	`*-lft-identity_binary64`
9×	`mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64`
6×	`div0_binary64` `associate-/l/_binary64`
3×	`mul-1-neg_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_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-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	76
1	70	76
2	163	76
3	380	76
4	772	64
5	1552	52
6	4095	52
7	4619	52
8	5005	52
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample22.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	26×	body	128	invalid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify68.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

639×	`associate-/l*_binary64`
549×	`associate-/r*_binary64`
448×	`distribute-neg-frac_binary64`
376×	`cancel-sign-sub-inv_binary64`
359×	`div-sub_binary64`
318×	`neg-mul-1_binary64`
289×	`distribute-frac-neg_binary64`
288×	`associate-/r/_binary64`
284×	`associate-*l/_binary64`
273×	`neg-sub0_binary64`
220×	`times-frac_binary64`
211×	`sub-neg_binary64`
171×	`distribute-rgt-in_binary64`
168×	`unsub-neg_binary64`
166×	`associate-/l/_binary64`
145×	`associate-*r/_binary64`
96×	`distribute-lft-in_binary64`
87×	`+-lft-identity_binary64`
72×	`distribute-rgt-neg-in_binary64`
69×	`distribute-neg-in_binary64`
53×	`distribute-lft-neg-in_binary64`
48×	`/-rgt-identity_binary64`
46×	`associate-+l+_binary64`
42×	`*-lft-identity_binary64`
40×	`associate-+r+_binary64`
36×	`associate--r+_binary64`
35×	`*-rgt-identity_binary64`
34×	`+-commutative_binary64`
33×	`remove-double-neg_binary64` `distribute-rgt-out_binary64`
31×	`distribute-lft-neg-out_binary64` `associate-+l-_binary64`
29×	`associate-l_binary64` `*-commutative_binary64`
28×	`associate-r_binary64`
25×	`distribute-rgt-neg-out_binary64`
22×	`cancel-sign-sub_binary64`
21×	`sub0-neg_binary64`
19×	`distribute-rgt-out--_binary64`
17×	`associate-+r-_binary64`
16×	`associate--l+_binary64`
11×	`remove-double-div_binary64`
10×	`associate--r-_binary64`
9×	`+-rgt-identity_binary64`
8×	`distribute-lft-out_binary64`
6×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt1-in_binary64`
5×	`mul-1-neg_binary64` `associate--l-_binary64`
3×	`div0_binary64` `*-inverses_binary64`
2×	`--rgt-identity_binary64`
1×	`1-exp_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_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` `swap-sqr_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	25	19
2	51	19
3	113	19
4	226	16
5	409	13
6	1281	13
7	3908	13
8	4540	13
9	4743	13

prune6.0ms (0.2%)

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 31 to 30 computations (3.2% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
0.0b	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)

rewrite57.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`times-frac_binary64` `associate-/r*_binary64`
2×	`pow1_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `associate-/l/_binary64`
1×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64` `associate-/l*_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

10.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)
6.0ms	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))

Compiler

Compiled 810 to 567 computations (30% saved)

series125.0ms (4.5%)

Error

0.0b

Counts

2 → 36

Calls

2 calls:

54.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)
53.0ms	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))

Compiler

Compiled 752 to 689 computations (8.4% saved)

simplify75.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

505×	`div-sub_binary64`
373×	`distribute-rgt-in_binary64`
359×	`distribute-lft-in_binary64`
336×	`associate-/l*_binary64`
327×	`times-frac_binary64`
235×	`associate-l_binary64`
204×	`associate-*l/_binary64`
194×	`associate-r_binary64`
172×	`associate-*r/_binary64`
117×	`associate-/l/_binary64`
116×	`*-commutative_binary64`
87×	`associate-/r*_binary64`
86×	`associate-+l+_binary64`
84×	`associate-/r/_binary64`
79×	`associate-+r+_binary64`
57×	`+-commutative_binary64`
37×	`sub-neg_binary64`
32×	`log-prod_binary64` `cube-prod_binary64`
31×	`cancel-sign-sub-inv_binary64`
29×	`distribute-neg-frac_binary64`
28×	`cube-div_binary64`
27×	`log-div_binary64`
24×	`distribute-rgt-neg-in_binary64`
22×	`associate-+l-_binary64`
19×	`associate-+r-_binary64`
18×	`distribute-lft-neg-in_binary64`
17×	`neg-mul-1_binary64` `neg-sub0_binary64`
14×	`exp-sum_binary64`
13×	`sqr-pow_binary64`
12×	`distribute-neg-in_binary64`
11×	`exp-prod_binary64`
10×	`associate--l+_binary64`
9×	`swap-sqr_binary64` `distribute-lft-neg-out_binary64`
8×	`unpow3_binary64`
7×	`*-lft-identity_binary64`
6×	`exp-diff_binary64` `cube-mult_binary64` `unsub-neg_binary64` `*-rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `associate--r+_binary64`
4×	`distribute-rgt1-in_binary64` `distribute-rgt-out_binary64` `associate--l-_binary64`
3×	`log-rec_binary64` `cube-unmult_binary64`
2×	`distribute-lft-out--_binary64` `distribute-lft-out_binary64`
1×	`unpow1/2_binary64` `pow-plus_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `*-inverses_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` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-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` `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-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

71 → 55

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1160
1	294	1118
2	840	1012
3	3779	1009
4	5088	1009

prune31.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	55	2	57

Error

Counts

57 → 2

Compiler

Compiled 564 to 344 computations (39% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x z) y)
0.0b	(*.f64 4 (/.f64 (-.f64 x z) y))

rewrite72.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/l*_binary64`
4×	`pow1_binary64`
3×	`associate-l_binary64` `associate-/r*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `add-log-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` `flip3--_binary64` `flip--_binary64`

Counts

2 → 76

Calls

2 calls:

13.0ms	(*.f64 4 (/.f64 (-.f64 x z) y))
6.0ms	(/.f64 (-.f64 x z) y)

Compiler

Compiled 1149 to 483 computations (58% saved)

series75.0ms (2.7%)

Error

Counts

2 → 30

Calls

2 calls:

37.0ms	(*.f64 4 (/.f64 (-.f64 x z) y))
32.0ms	(/.f64 (-.f64 x z) y)

Compiler

Compiled 593 to 553 computations (6.7% saved)

simplify119.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

446×	`associate-/r*_binary64`
310×	`distribute-rgt-neg-out_binary64`
285×	`div-sub_binary64`
282×	`associate-/r/_binary64`
276×	`distribute-lft-neg-out_binary64`
244×	`associate-*l/_binary64`
232×	`associate-*r/_binary64`
225×	`distribute-rgt-in_binary64`
218×	`distribute-lft-in_binary64`
204×	`associate-l_binary64`
158×	`associate-r_binary64`
155×	`associate-/l*_binary64`
122×	`*-commutative_binary64`
94×	`associate-/l/_binary64`
88×	`distribute-frac-neg_binary64`
83×	`log-div_binary64`
79×	`sub-neg_binary64`
66×	`exp-prod_binary64`
64×	`log-prod_binary64`
63×	`neg-sub0_binary64`
60×	`times-frac_binary64`
41×	`cancel-sign-sub-inv_binary64`
40×	`neg-mul-1_binary64`
39×	`unsub-neg_binary64`
37×	`exp-diff_binary64`
36×	`distribute-rgt-neg-in_binary64`
33×	`distribute-rgt-out_binary64`
31×	`distribute-lft-neg-in_binary64`
29×	`swap-sqr_binary64` `+-commutative_binary64`
28×	`exp-sum_binary64` `sqr-pow_binary64`
26×	`distribute-neg-frac_binary64`
24×	`distribute-lft-out_binary64`
21×	`cube-prod_binary64`
17×	`distribute-neg-in_binary64`
14×	`cube-div_binary64`
13×	`unpow3_binary64` `associate-+r-_binary64`
12×	`mul-1-neg_binary64`
10×	`associate-+l-_binary64`
9×	`exp-neg_binary64` `+-rgt-identity_binary64` `associate-+r+_binary64`
8×	`/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `associate-+l+_binary64`
7×	`sqr-neg_binary64`
4×	`log-rec_binary64` `unpow2_binary64` `cube-unmult_binary64` `cube-neg_binary64` `remove-double-neg_binary64`
3×	`sub0-neg_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate--r+_binary64`
2×	`cube-mult_binary64` `pow-sqr_binary64` `associate--r-_binary64`
1×	`unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `--rgt-identity_binary64` `div0_binary64` `unswap-sqr_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate--l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_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` `div-exp_binary64` `rec-exp_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

106 → 56

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	131	1323
1	310	1237
2	813	1237
3	2359	1237
4	4773	1237
5	4999	1237
6	4955	1237

prune22.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	56	2	58

Error

Counts

58 → 2

Compiler

Compiled 427 to 223 computations (47.8% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (/.f64 1 (/.f64 y (+.f64 y (*.f64 4 (-.f64 x z))))))
0.0b	(/.f64 y (+.f64 y (*.f64 4 (-.f64 x z))))
0.2b	(/.f64 1 (/.f64 y (+.f64 y (*.f64 4 (-.f64 x z)))))

rewrite154.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

90×	`times-frac_binary64`
58×	`*-un-lft-identity_binary64`
55×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`associate-/r*_binary64`
16×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
10×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
7×	`div-inv_binary64`
6×	`flip3-+_binary64` `flip-+_binary64` `associate-/l*_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `distribute-lft-out_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

3 → 126

Calls

3 calls:

18.0ms	(+.f64 1 (/.f64 1 (/.f64 y (+.f64 y (*.f64 4 (-.f64 x z))))))
8.0ms	(/.f64 1 (/.f64 y (+.f64 y (*.f64 4 (-.f64 x z)))))
7.0ms	(/.f64 y (+.f64 y (*.f64 4 (-.f64 x z))))

Compiler

Compiled 3256 to 2017 computations (38.1% saved)

series252.0ms (9%)

Error

Counts

3 → 69

Calls

3 calls:

106.0ms	(/.f64 y (+.f64 y (*.f64 4 (-.f64 x z))))
54.0ms	(+.f64 1 (/.f64 1 (/.f64 y (+.f64 y (*.f64 4 (-.f64 x z))))))
51.0ms	(/.f64 1 (/.f64 y (+.f64 y (*.f64 4 (-.f64 x z)))))

Compiler

Compiled 3239 to 2669 computations (17.6% saved)

simplify157.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

616×	`distribute-rgt-in_binary64`
258×	`cancel-sign-sub-inv_binary64`
205×	`times-frac_binary64`
182×	`associate-/l*_binary64`
174×	`sub-neg_binary64`
148×	`+-commutative_binary64`
146×	`associate-/r*_binary64`
138×	`associate-/r/_binary64`
136×	`*-commutative_binary64`
126×	`distribute-neg-in_binary64`
125×	`associate-+r+_binary64`
120×	`associate-r_binary64`
119×	`associate-*l/_binary64`
112×	`distribute-rgt-neg-in_binary64`
96×	`distribute-lft-neg-in_binary64`
93×	`associate-*r/_binary64` `associate-+l+_binary64`
83×	`distribute-neg-frac_binary64`
80×	`associate-/l/_binary64`
72×	`distribute-lft-in_binary64`
68×	`unswap-sqr_binary64`
66×	`neg-mul-1_binary64`
63×	`neg-sub0_binary64` `associate--l+_binary64`
62×	`associate-l_binary64`
55×	`sqr-pow_binary64`
51×	`distribute-rgt-out_binary64` `associate--r+_binary64`
38×	`unsub-neg_binary64`
33×	`distribute-lft-neg-out_binary64`
31×	`*-rgt-identity_binary64`
26×	`swap-sqr_binary64` `distribute-lft-out_binary64`
21×	`div-sub_binary64` `distribute-rgt-neg-out_binary64`
17×	`cube-prod_binary64` `distribute-rgt-out--_binary64`
12×	`*-lft-identity_binary64` `distribute-rgt1-in_binary64`
11×	`unpow3_binary64`
10×	`log-prod_binary64` `cube-mult_binary64`
9×	`log-div_binary64`
8×	`exp-prod_binary64` `cube-div_binary64`
7×	`cube-unmult_binary64` `/-rgt-identity_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `difference-of-squares_binary64` `associate-+r-_binary64`
4×	`log-rec_binary64` `exp-sum_binary64` `remove-double-div_binary64` `associate-+l-_binary64`
3×	`distribute-lft-out--_binary64` `associate--r-_binary64`
2×	`sub0-neg_binary64` `+-lft-identity_binary64`
1×	`log-pow_binary64` `pow-plus_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `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-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

195 → 166

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	5563
1	934	5234
2	3456	5099
3	5656	5099

prune95.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	166	2	168

Error

Counts

168 → 2

Compiler

Compiled 2830 to 1662 computations (41.3% saved)

regimes296.0ms (10.6%)

Accuracy

Total 0.0b remaining (36.1%)

Threshold costs 0.0b (36.1%)

Compiler

Compiled 2102 to 2215 computations (-5.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64` `*-commutative_binary64`
1×	`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-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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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	10	13
1	14	13
2	19	13
3	21	13
4	22	13
5	22	13

end1.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

sample712.0ms (25.5%)

Algorithm

1×

intervals

Results

306.0ms	8000×	body	128	valid
31.0ms	894×	body	128	invalid

Compiler

Compiled 48 to 58 computations (-20.8% saved)

Details

analyze432.0ms (15.5%)

sample22.0ms (0.8%)

simplify68.0ms (2.4%)

prune6.0ms (0.2%)

localize8.0ms (0.3%)

rewrite57.0ms (2%)

series125.0ms (4.5%)

simplify75.0ms (2.7%)

prune31.0ms (1.1%)

localize6.0ms (0.2%)

rewrite72.0ms (2.6%)

series75.0ms (2.7%)

simplify119.0ms (4.3%)

prune22.0ms (0.8%)

localize8.0ms (0.3%)

rewrite154.0ms (5.5%)

series252.0ms (9%)

simplify157.0ms (5.6%)

prune95.0ms (3.4%)

regimes296.0ms (10.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample712.0ms (25.5%)

Profiling