Details

analyze497.0ms (4%)

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)

sample47.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	133×	body	256	valid
8.0ms	282×	pre	128	true
6.0ms	46×	body	512	valid
4.0ms	77×	body	128	valid
1.0ms	26×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify290.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (282.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune3.0ms (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

52.3b

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)
27.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite139.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

49.6b

Rules

20×	`add-sqr-sqrt_binary64_1123`
14×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `*-un-lft-identity_binary64_1101`
9×	`pow1_binary64_1162`
8×	`add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136`
6×	`difference-of-squares_binary64_1070` `times-frac_binary64_1107` `associate-/l*_binary64_1046`
4×	`cancel-sign-sub-inv_binary64_1067` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
3×	`flip3--_binary64_1105` `flip--_binary64_1076` `sqrt-prod_binary64_1117` `distribute-lft-out--_binary64_1053` `pow-prod-down_binary64_1172` `associate-r_binary64_1041`
2×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/l/_binary64_1048`
1×	`associate-l_binary64_1042` `-commutative_binary64_1032` `frac-2neg_binary64_1112` `div-sub_binary64_1106` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/r_binary64_1045`

Counts

4 → 77

Calls

4 calls:

11.0ms	(/.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 2072 to 1208 computations (41.7% saved)

series629.0ms (5.1%)

Error

0.3b

Counts

4 → 60

Calls

4 calls:

206.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
158.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
142.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
54.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5268	2923

prune159.0ms (1.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	128	9	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	9	138

Error

0.2b

Counts

138 → 9

Compiler

Compiled 3192 to 1776 computations (44.4% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite653.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

155×	`add-exp-log_binary64_1139`
72×	`prod-exp_binary64_1150`
60×	`div-exp_binary64_1152`
50×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169`
40×	`add-sqr-sqrt_binary64_1123`
31×	`unpow-prod-down_binary64_1180`
29×	`add-cbrt-cube_binary64_1137`
26×	`times-frac_binary64_1107` `associate-/r*_binary64_1045`
23×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
15×	`sqr-pow_binary64_1073`
12×	`cube-prod_binary64_1129` `unswap-sqr_binary64_1069` `associate-l_binary64_1042`
8×	`cbrt-undiv_binary64_1135` `cbrt-unprod_binary64_1134`
7×	`associate-r_binary64_1041`
4×	`pow1_binary64_1162` `add-log-exp_binary64_1140`
3×	`frac-2neg_binary64_1112` `unpow3_binary64_1167` `cube-mult_binary64_1131` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l*_binary64_1046`
1×	`*-commutative_binary64_1032`

Counts

4 → 202

Calls

4 calls:

10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 10444 to 6552 computations (37.3% saved)

series1.0s (8%)

Error

0.2b

Counts

4 → 33

Calls

4 calls:

326.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
280.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
213.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
116.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4455 to 3322 computations (25.4% saved)

simplify94.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5089	3808

prune684.0ms (5.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	234	10	244

Error

0.2b

Counts

244 → 10

Compiler

Compiled 11663 to 7304 computations (37.4% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite525.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

90×	`add-exp-log_binary64_1139`
46×	`pow1_binary64_1162`
45×	`prod-exp_binary64_1150`
36×	`pow-exp_binary64_1169`
35×	`pow-to-exp_binary64_1170`
30×	`div-exp_binary64_1152`
26×	`add-cbrt-cube_binary64_1137`
25×	`add-sqr-sqrt_binary64_1123`
19×	`unpow-prod-down_binary64_1180` `pow-prod-down_binary64_1172`
13×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
11×	`cbrt-unprod_binary64_1134` `sqr-pow_binary64_1073`
9×	`unswap-sqr_binary64_1069`
8×	`associate-l_binary64_1042` `associate-r_binary64_1041`
7×	`times-frac_binary64_1107` `associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140` `pow-prod-up_binary64_1171` `pow-sqr_binary64_1074`
3×	`pow-unpow_binary64_1178`
2×	`pow-pow_binary64_1173` `rem-cube-cbrt_binary64_1124` `pow-plus_binary64_1164` `*-commutative_binary64_1032` `cbrt-undiv_binary64_1135`
1×	`unpow3_binary64_1167` `cube-mult_binary64_1131` `cube-prod_binary64_1129` `pow2_binary64_1182` `swap-sqr_binary64_1068` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l*_binary64_1046`

Counts

4 → 155

Calls

4 calls:

11.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 8802 to 5273 computations (40.1% saved)

series703.0ms (5.7%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

333.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
127.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
104.0ms	(pow.f64 (*.f64 a c) 3)
83.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4167 to 2892 computations (30.6% saved)

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5071	1994

prune498.0ms (4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	182	10	192

Error

0.2b

Counts

192 → 10

Compiler

Compiled 9793 to 5817 computations (40.6% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
18.8b	(log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))

rewrite639.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

143×	`add-exp-log_binary64_1139`
63×	`prod-exp_binary64_1150`
60×	`div-exp_binary64_1152`
44×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169`
38×	`times-frac_binary64_1107`
27×	`add-cbrt-cube_binary64_1137`
26×	`associate-/r*_binary64_1045`
23×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
21×	`unpow-prod-down_binary64_1180`
17×	`log-pow_binary64_1190`
16×	`exp-prod_binary64_1153`
9×	`cube-prod_binary64_1129`
8×	`cbrt-undiv_binary64_1135`
7×	`sqr-pow_binary64_1073` `cbrt-unprod_binary64_1134`
5×	`pow1_binary64_1162`
4×	`div-inv_binary64_1098` `add-log-exp_binary64_1140`
3×	`unpow3_binary64_1167` `cube-mult_binary64_1131` `log-prod_binary64_1187` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l*_binary64_1046`
1×	`rem-log-exp_binary64_1142`

Counts

4 → 181

Calls

4 calls:

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 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
6.0ms	(log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))

Compiler

Compiled 9715 to 6199 computations (36.2% saved)

series1.3s (10.8%)

Error

0.2b

Counts

4 → 36

Calls

4 calls:

426.0ms	(log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))
335.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
284.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
227.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

Compiler

Compiled 5052 to 3853 computations (23.7% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5082	3517

prune680.0ms (5.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	216	1	217
Fresh	0	7	7
Picked	1	0	1
Done	0	2	2
Total	217	10	227

Error

0.2b

Counts

227 → 10

Compiler

Compiled 10831 to 6917 computations (36.1% saved)

regimes676.0ms (5.4%)

Accuracy

Total 1.3b remaining (87.7%)

Threshold costs 0b (0%)

Compiler

Compiled 10194 to 7392 computations (27.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	241	69
1	241	69

end0.0ms (0%)

sample2.9s (22.9%)

Algorithm

1×

intervals

Results

361.0ms	3721×	body	256	valid
273.0ms	8814×	pre	128	true
214.0ms	1527×	body	512	valid
132.0ms	2752×	body	128	valid
46.0ms	814×	body	128	nan

Compiler

Compiled 1944 to 1419 computations (27% saved)

Details

analyze497.0ms (4%)

sample47.0ms (0.4%)

simplify290.0ms (2.3%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite139.0ms (1.1%)

series629.0ms (5.1%)

simplify55.0ms (0.4%)

prune159.0ms (1.3%)

localize34.0ms (0.3%)

rewrite653.0ms (5.2%)

series1.0s (8%)

simplify94.0ms (0.8%)

prune684.0ms (5.5%)

localize31.0ms (0.2%)

rewrite525.0ms (4.2%)

series703.0ms (5.7%)

simplify69.0ms (0.6%)

prune498.0ms (4%)

localize32.0ms (0.3%)

rewrite639.0ms (5.1%)

series1.3s (10.8%)

simplify89.0ms (0.7%)

prune680.0ms (5.5%)

regimes676.0ms (5.4%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.9s (22.9%)

Profiling