Details

analyze540.0ms (4.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	96
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample51.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	129×	body	256	valid
11.0ms	284×	pre	128	true
7.0ms	49×	body	512	valid
4.0ms	78×	body	128	valid
1.0ms	28×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify263.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (257.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

54.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.3b	(.f64 (.f64 3 a) c)
29.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite200.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

51.7b

Rules

20×	`add-sqr-sqrt_binary64_4192`
14×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `*-un-lft-identity_binary64_4170`
9×	`pow1_binary64_4231`
8×	`add-log-exp_binary64_4209` `add-cube-cbrt_binary64_4205`
6×	`difference-of-squares_binary64_4139` `times-frac_binary64_4176` `associate-/l*_binary64_4115`
4×	`cancel-sign-sub-inv_binary64_4136` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203`
3×	`flip3--_binary64_4174` `flip--_binary64_4145` `sqrt-prod_binary64_4186` `distribute-lft-out--_binary64_4122` `pow-prod-down_binary64_4241` `associate-r_binary64_4110`
2×	`diff-log_binary64_4262` `sub-neg_binary64_4163` `div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `associate-/l/_binary64_4117`
1×	`associate-l_binary64_4111` `-commutative_binary64_4101` `frac-2neg_binary64_4181` `div-sub_binary64_4175` `clear-num_binary64_4169` `div-inv_binary64_4167` `associate-/r_binary64_4114`

Counts

4 → 77

Calls

4 calls:

14.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 1865 to 1088 computations (41.7% saved)

series893.0ms (8.1%)

Error

0.2b

Counts

4 → 60

Calls

4 calls:

316.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
238.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
227.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
79.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2012 to 1674 computations (16.8% saved)

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5268	2923

prune116.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	130	7	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	131	7	138

Error

0.1b

Counts

138 → 7

Compiler

Compiled 1964 to 1119 computations (43% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite614.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

132×	`add-exp-log_binary64_4208`
64×	`prod-exp_binary64_4219`
41×	`add-cbrt-cube_binary64_4206`
39×	`div-exp_binary64_4221`
31×	`times-frac_binary64_4176`
28×	`associate-r_binary64_4110`
27×	`add-sqr-sqrt_binary64_4192`
22×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
21×	`pow-to-exp_binary64_4239` `pow-exp_binary64_4238`
19×	`unpow-prod-down_binary64_4249` `associate-/r*_binary64_4114`
16×	`cbrt-unprod_binary64_4203`
13×	`cube-prod_binary64_4198`
9×	`cbrt-undiv_binary64_4204`
7×	`sqr-pow_binary64_4142`
6×	`pow1_binary64_4231`
5×	`unswap-sqr_binary64_4138`
4×	`add-log-exp_binary64_4209` `unpow3_binary64_4236` `cube-mult_binary64_4200` `associate-l_binary64_4111`
3×	`div-inv_binary64_4167`
2×	`frac-2neg_binary64_4181` `clear-num_binary64_4169` `associate-/l_binary64_4115` `-commutative_binary64_4101`
1×	`pow-prod-down_binary64_4241` `associate-*r/_binary64_4112`

Counts

4 → 173

Calls

4 calls:

15.0ms	(.f64 3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 7296 to 4543 computations (37.7% saved)

series1.3s (11.5%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

433.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
361.0ms	(.f64 3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
312.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
147.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3060 to 2444 computations (20.1% saved)

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5188	3112

prune332.0ms (3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	206	7	213

Error

0.1b

Counts

213 → 7

Compiler

Compiled 4821 to 3017 computations (37.4% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.6b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite745.0ms (6.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

98×	`add-exp-log_binary64_4208`
63×	`times-frac_binary64_4176`
46×	`pow1_binary64_4231`
42×	`unpow-prod-down_binary64_4249` `div-exp_binary64_4221`
40×	`pow-exp_binary64_4238`
39×	`prod-exp_binary64_4219`
36×	`pow-to-exp_binary64_4239`
35×	`add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
26×	`add-cbrt-cube_binary64_4206`
20×	`sqr-pow_binary64_4142`
18×	`pow-prod-down_binary64_4241`
14×	`associate-/r*_binary64_4114`
10×	`cbrt-unprod_binary64_4203`
9×	`unpow3_binary64_4236` `cube-mult_binary64_4200` `cube-prod_binary64_4198` `associate-/l*_binary64_4115`
4×	`add-log-exp_binary64_4209` `pow-prod-up_binary64_4240` `pow-sqr_binary64_4143`
3×	`pow-unpow_binary64_4247` `cbrt-undiv_binary64_4204`
2×	`pow-pow_binary64_4242` `rem-cube-cbrt_binary64_4193` `pow-plus_binary64_4233` `frac-2neg_binary64_4181` `clear-num_binary64_4169` `div-inv_binary64_4167`
1×	`pow2_binary64_4251` `swap-sqr_binary64_4137` `associate-l_binary64_4111` `associate-r_binary64_4110` `*-commutative_binary64_4101`

Counts

4 → 207

Calls

4 calls:

9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9315 to 5520 computations (40.7% saved)

series1.3s (11.6%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

528.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
480.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
136.0ms	(pow.f64 (*.f64 a c) 3)
124.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 3275 to 2402 computations (26.7% saved)

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4965	3551
1	4965	3551

prune409.0ms (3.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	237	0	237
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	237	7	244

Error

0.1b

Counts

244 → 7

Compiler

Compiled 6283 to 3751 computations (40.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))
0.3b	(.f64 3 (.f64 a c))
0.3b	(.f64 3 (.f64 a c))
29.6b	(-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b))

rewrite267.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

54×	`times-frac_binary64_4176`
40×	`*-un-lft-identity_binary64_4170`
33×	`add-sqr-sqrt_binary64_4192`
26×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
24×	`add-cube-cbrt_binary64_4205`
22×	`associate-/l*_binary64_4115`
14×	`pow1_binary64_4231`
9×	`add-log-exp_binary64_4209` `difference-of-squares_binary64_4139`
8×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `distribute-lft-out_binary64_4121`
6×	`pow-prod-down_binary64_4241` `associate-l_binary64_4111` `div-exp_binary64_4221` `cbrt-undiv_binary64_4204`
4×	`associate-/r/_binary64_4116`
3×	`diff-log_binary64_4262` `div-inv_binary64_4167`
2×	`sub-neg_binary64_4163` `cancel-sign-sub-inv_binary64_4136` `associate--l+_binary64_4107` `associate-r_binary64_4110` `*-commutative_binary64_4101` `flip3-+_binary64_4173` `flip-+_binary64_4144` `div-sub_binary64_4175`
1×	`flip3--_binary64_4174` `flip--_binary64_4145` `associate--l-_binary64_4108` `frac-2neg_binary64_4181` `clear-num_binary64_4169` `associate-/l/_binary64_4117` `associate-/r*_binary64_4114`

Counts

4 → 118

Calls

4 calls:

17.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))
7.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b))
5.0ms	(.f64 3 (.f64 a c))
5.0ms	(.f64 3 (.f64 a c))

Compiler

Compiled 4957 to 2294 computations (53.7% saved)

series655.0ms (5.9%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

339.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))
146.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b))
81.0ms	(.f64 3 (.f64 a c))
77.0ms	(.f64 3 (.f64 a c))

Compiler

Compiled 1834 to 1271 computations (30.7% saved)

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4964	4184
1	4964	4184

prune173.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	154	3	157
Fresh	4	0	4
Picked	1	0	1
Done	1	1	2
Total	160	4	164

Error

Counts

164 → 4

Compiler

Compiled 3557 to 1773 computations (50.2% saved)

regimes1.2s (11%)

Accuracy

Total 0.5b remaining (93.8%)

Threshold costs 0.5b (93.8%)

Compiler

Compiled 16335 to 11205 computations (31.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	36
1	23	36

end2.0ms (0%)

Compiler: Compiled 24 to 18 computations (25% saved)

sample1.6s (14.6%)

Algorithm

1×

intervals

Results

378.0ms	3828×	body	256	valid
270.0ms	8810×	pre	128	true
215.0ms	1435×	body	512	valid
140.0ms	2737×	body	128	valid
40.0ms	810×	body	128	nan

Compiler

Compiled 188 to 153 computations (18.6% saved)

Details

analyze540.0ms (4.9%)

sample51.0ms (0.5%)

simplify263.0ms (2.4%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite200.0ms (1.8%)

series893.0ms (8.1%)

simplify52.0ms (0.5%)

prune116.0ms (1.1%)

localize29.0ms (0.3%)

rewrite614.0ms (5.6%)

series1.3s (11.5%)

simplify81.0ms (0.7%)

prune332.0ms (3%)

localize33.0ms (0.3%)

rewrite745.0ms (6.8%)

series1.3s (11.6%)

simplify86.0ms (0.8%)

prune409.0ms (3.7%)

localize14.0ms (0.1%)

rewrite267.0ms (2.4%)

series655.0ms (5.9%)

simplify83.0ms (0.8%)

prune173.0ms (1.6%)

regimes1.2s (11%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end2.0ms (0%)

sample1.6s (14.6%)

Profiling