Details

analyze515.0ms (13.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	355	40
1	355	40
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
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Symmetry

(sort d2 d3)

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample27.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	254×	body	128	valid
1.0ms	20×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	135	10
1	135	10

prune5.0ms (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 27 to 25 computations (7.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`*-un-lft-identity_binary64_4170`
5×	`add-sqr-sqrt_binary64_4192` `associate-r_binary64_4110`
3×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205` `associate-l_binary64_4111` `distribute-lft-out_binary64_4121`
2×	`associate-*r/_binary64_4112`
1×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `add-log-exp_binary64_4209` `cbrt-unprod_binary64_4203` `unswap-sqr_binary64_4138` `distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119` `flip3-+_binary64_4173` `flip-+_binary64_4144` `*-commutative_binary64_4101`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 336 to 216 computations (35.7% saved)

series118.0ms (3%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

107.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 305 to 220 computations (27.9% saved)

simplify84.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4922	411
1	4922	411

prune35.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	38	3	41

Error

Counts

41 → 3

Compiler

Compiled 418 to 261 computations (37.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d3 5) d1)
0.0b	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

rewrite67.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-log-exp_binary64_4209`
7×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
5×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205`
4×	`sum-log_binary64_4261` `associate-l_binary64_4111`
3×	`flip3-+_binary64_4173` `flip-+_binary64_4144` `associate-r_binary64_4110`
2×	`+-commutative_binary64_4100` `associate-*l/_binary64_4113`
1×	`associate-+l+_binary64_4103` `pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `unswap-sqr_binary64_4138` `distribute-lft-out_binary64_4121` `*-commutative_binary64_4101`

Counts

3 → 45

Calls

3 calls:

7.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
6.0ms	(*.f64 (+.f64 d3 5) d1)
4.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))

Compiler

Compiled 1001 to 590 computations (41.1% saved)

series379.0ms (9.6%)

Error

Counts

3 → 39

Calls

3 calls:

148.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
147.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
60.0ms	(*.f64 (+.f64 d3 5) d1)

Compiler

Compiled 1100 to 775 computations (29.5% saved)

simplify78.0ms (2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4992	901
1	4992	901

prune63.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Error

Counts

87 → 3

Compiler

Compiled 1148 to 691 computations (39.8% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 d3 37) (+.f64 d3 37))
1.9b	(-.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (+.f64 d3 37)))
8.8b	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37))))
15.5b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37)))) (-.f64 d2 (+.f64 d3 37)))

rewrite192.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`*-un-lft-identity_binary64_4170`
20×	`add-sqr-sqrt_binary64_4192`
13×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
12×	`add-cube-cbrt_binary64_4205`
8×	`distribute-lft-out_binary64_4121` `associate-r_binary64_4110`
7×	`associate-l_binary64_4111`
6×	`add-log-exp_binary64_4209` `times-frac_binary64_4176` `associate-r/_binary64_4112` `associate-/r_binary64_4114` `flip3-+_binary64_4173` `flip-+_binary64_4144` `swap-sqr_binary64_4137`
4×	`difference-of-squares_binary64_4139` `distribute-lft-out--_binary64_4122` `flip3--_binary64_4174` `flip--_binary64_4145` `distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119` `frac-times_binary64_4180`
3×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `sub-neg_binary64_4163` `cancel-sign-sub-inv_binary64_4136`
2×	`div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `associate-/l/_binary64_4117` `associate-/r/_binary64_4116` `pow-prod-down_binary64_4241` `unswap-sqr_binary64_4138` `-commutative_binary64_4101` `associate--r+_binary64_4106` `associate-l/_binary64_4113`
1×	`frac-2neg_binary64_4181` `clear-num_binary64_4169` `div-inv_binary64_4167` `associate-/l*_binary64_4115` `diff-log_binary64_4262` `pow2_binary64_4251` `pow-prod-up_binary64_4240` `pow-plus_binary64_4233` `pow-sqr_binary64_4143`

Counts

4 → 111

Calls

4 calls:

13.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37)))) (-.f64 d2 (+.f64 d3 37)))
9.0ms	(*.f64 (+.f64 d3 37) (+.f64 d3 37))
7.0ms	(-.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (+.f64 d3 37)))
7.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37))))

Compiler

Compiled 3243 to 2004 computations (38.2% saved)

series865.0ms (21.9%)

Error

Counts

4 → 57

Calls

4 calls:

355.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37)))) (-.f64 d2 (+.f64 d3 37)))
261.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37))))
152.0ms	(-.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (+.f64 d3 37)))
45.0ms	(*.f64 (+.f64 d3 37) (+.f64 d3 37))

Compiler

Compiled 2837 to 2154 computations (24.1% saved)

simplify92.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5035	2625

prune163.0ms (4.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	168	3	171

Error

Counts

171 → 3

Compiler

Compiled 3407 to 2074 computations (39.1% saved)

regimes210.0ms (5.3%)

Accuracy

Total 0.0b remaining (94.6%)

Threshold costs 0.0b (94.6%)

Compiler

Compiled 1517 to 1427 computations (5.9% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	16
1	16	16

Remove

(sort d2 d3)

Compiler

Compiled 22 to 20 computations (9.1% saved)

end0.0ms (0%)

sample970.0ms (24.6%)

Algorithm

1×

intervals

Results

290.0ms	7957×	body	128	valid
28.0ms	684×	body	128	invalid
2.0ms	16×	body	1024	valid
2.0ms	16×	body	512	valid
1.0ms	11×	body	256	valid

Compiler

Compiled 313 to 292 computations (6.7% saved)

Details

analyze515.0ms (13.1%)

sample27.0ms (0.7%)

simplify10.0ms (0.2%)

prune5.0ms (0.1%)

localize5.0ms (0.1%)

rewrite35.0ms (0.9%)

series118.0ms (3%)

simplify84.0ms (2.1%)

prune35.0ms (0.9%)

localize9.0ms (0.2%)

rewrite67.0ms (1.7%)

series379.0ms (9.6%)

simplify78.0ms (2%)

prune63.0ms (1.6%)

localize10.0ms (0.3%)

rewrite192.0ms (4.9%)

series865.0ms (21.9%)

simplify92.0ms (2.3%)

prune163.0ms (4.1%)

regimes210.0ms (5.3%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample970.0ms (24.6%)

Profiling