Details

analyze1.3s (2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5212	209
0	5	5
1	5	5

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
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.3%	0.2%	12
12.2%	87.5%	0.2%	13
21.9%	77.7%	0.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample32.0ms (0.1%)

Algorithm

1×

intervals

Results

9.0ms	216×	body	128	valid
2.0ms	19×	body	512	valid
2.0ms	50×	body	128	invalid
1.0ms	8×	body	1024	valid
1.0ms	12×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify76.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4973	19
1	4973	19

prune2.0ms (0%)

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

13.8b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 t x) (-.f64 a z))
3.1b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
5.6b	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite203.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

10.2b

Rules

78×	`add-sqr-sqrt_binary64_1123`
73×	`*-un-lft-identity_binary64_1101`
51×	`times-frac_binary64_1107`
31×	`associate-r_binary64_1041`
27×	`add-cube-cbrt_binary64_1136`
23×	`difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053`
10×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
5×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `flip3--_binary64_1105` `flip--_binary64_1076` `associate-l_binary64_1042` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
4×	`associate-/r/_binary64_1047`
2×	`div-exp_binary64_1152` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `cbrt-undiv_binary64_1135` `frac-times_binary64_1111` `unswap-sqr_binary64_1069` `associate-*l/_binary64_1044` `div-inv_binary64_1098` `associate-/l/_binary64_1048`
1×	`pow-prod-down_binary64_1172` `associate-r/_binary64_1043` `-commutative_binary64_1032` `sum-log_binary64_1192` `flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031` `frac-2neg_binary64_1112` `div-sub_binary64_1106` `clear-num_binary64_1100`

Counts

3 → 119

Calls

3 calls:

19.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
8.0ms	(/.f64 (-.f64 t x) (-.f64 a z))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

Compiler

Compiled 2307 to 458 computations (80.1% saved)

series2.9s (4.5%)

Error

0.8b

Counts

3 → 102

Calls

3 calls:

1.5s	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
851.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
427.0ms	(/.f64 (-.f64 t x) (-.f64 a z))

Compiler

Compiled 7190 to 4163 computations (42.1% saved)

simplify85.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5473	6330

prune240.0ms (0.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	210	11	221
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	211	11	222

Error

0.7b

Counts

222 → 11

Compiler

Compiled 3727 to 844 computations (77.4% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 a z))
0.5b	(cbrt.f64 (-.f64 a z))
1.9b	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
8.4b	(+.f64 x (.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))

rewrite320.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

75×	`add-sqr-sqrt_binary64_1123`
59×	`*-un-lft-identity_binary64_1101`
52×	`times-frac_binary64_1107`
46×	`associate-r_binary64_1041`
37×	`cbrt-prod_binary64_1132`
27×	`add-cube-cbrt_binary64_1136`
25×	`add-exp-log_binary64_1139`
18×	`add-cbrt-cube_binary64_1137` `cbrt-div_binary64_1133`
17×	`associate-l_binary64_1042`
16×	`difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053`
10×	`associate-/r/_binary64_1047`
9×	`flip3--_binary64_1105` `flip--_binary64_1076`
8×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
7×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
6×	`add-log-exp_binary64_1140` `pow1_binary64_1162` `unswap-sqr_binary64_1069`
5×	`frac-times_binary64_1111`
3×	`associate-l/_binary64_1044` `associate-r/_binary64_1043`
2×	`div-inv_binary64_1098` `pow1/3_binary64_1183`
1×	`sum-log_binary64_1192` `flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031` `pow-prod-down_binary64_1172` `*-commutative_binary64_1032`

Counts

4 → 134

Calls

4 calls:

41.0ms	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
6.0ms	(cbrt.f64 (-.f64 a z))
4.0ms	(+.f64 x (.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))
3.0ms	(cbrt.f64 (-.f64 a z))

Compiler

Compiled 4469 to 626 computations (86% saved)

series3.1s (4.8%)

Error

0.7b

Counts

4 → 94

Calls

4 calls:

1.7s	(+.f64 x (.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))
937.0ms	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
165.0ms	(cbrt.f64 (-.f64 a z))
165.0ms	(cbrt.f64 (-.f64 a z))

Compiler

Compiled 7977 to 4750 computations (40.5% saved)

simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

228 → 228

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5047	7309

prune314.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	224	4	228
Fresh	5	5	10
Picked	0	1	1
Done	0	0	0
Total	229	10	239

Error

0.7b

Counts

239 → 10

Compiler

Compiled 5575 to 1074 computations (80.7% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 a z) (-.f64 t x))
0.7b	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
5.0b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))
5.6b	(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))

rewrite706.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

392×	`times-frac_binary64_1107`
338×	`add-sqr-sqrt_binary64_1123`
326×	`*-un-lft-identity_binary64_1101`
158×	`add-cube-cbrt_binary64_1136`
98×	`associate-r_binary64_1041`
83×	`difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053`
36×	`add-exp-log_binary64_1139` `associate-/r*_binary64_1045`
20×	`add-cbrt-cube_binary64_1137`
18×	`associate-/r/_binary64_1047`
15×	`div-exp_binary64_1152`
11×	`flip3--_binary64_1105` `flip--_binary64_1076`
10×	`div-inv_binary64_1098`
8×	`associate-/l*_binary64_1046`
7×	`pow1_binary64_1162` `prod-exp_binary64_1150` `cbrt-undiv_binary64_1135`
6×	`add-log-exp_binary64_1140`
5×	`unswap-sqr_binary64_1069` `associate-l_binary64_1042`
4×	`1-exp_binary64_1145` `rec-exp_binary64_1151`
3×	`cbrt-unprod_binary64_1134`
2×	`frac-times_binary64_1111` `associate-*l/_binary64_1044` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048`
1×	`pow-prod-down_binary64_1172` `un-div-inv_binary64_1099` `associate-r/_binary64_1043` `-commutative_binary64_1032` `sum-log_binary64_1192` `flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `div-sub_binary64_1106`

Counts

4 → 344

Calls

4 calls:

44.0ms	(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))
14.0ms	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
9.0ms	(/.f64 (-.f64 a z) (-.f64 t x))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))

Compiler

Compiled 7547 to 2368 computations (68.6% saved)

series3.4s (5.2%)

Error

0.7b

Counts

4 → 138

Calls

4 calls:

1.5s	(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))
842.0ms	(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))
426.0ms	(/.f64 (-.f64 a z) (-.f64 t x))
420.0ms	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))

Compiler

Compiled 8956 to 5389 computations (39.8% saved)

simplify127.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

482 → 482

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5102	13094

prune552.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	479	3	482
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	483	9	492

Error

0.7b

Counts

492 → 9

Compiler

Compiled 7689 to 2045 computations (73.4% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (cbrt.f64 1) (/.f64 1 (-.f64 t x)))
0.2b	(.f64 (-.f64 y z) (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (-.f64 a z)))
3.1b	(.f64 (.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (-.f64 a z))) (/.f64 (cbrt.f64 1) (/.f64 1 (-.f64 t x))))
5.3b	(+.f64 x (.f64 (.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (-.f64 a z))) (/.f64 (cbrt.f64 1) (/.f64 1 (-.f64 t x)))))

rewrite1.4s (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

453×	`times-frac_binary64_1107`
297×	`add-sqr-sqrt_binary64_1123`
293×	`*-un-lft-identity_binary64_1101`
211×	`add-cube-cbrt_binary64_1136`
142×	`associate-r_binary64_1041`
129×	`cbrt-prod_binary64_1132`
112×	`add-exp-log_binary64_1139`
54×	`add-cbrt-cube_binary64_1137`
44×	`prod-exp_binary64_1150`
42×	`div-exp_binary64_1152`
41×	`difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053`
30×	`associate-/r/_binary64_1047`
28×	`cbrt-unprod_binary64_1134`
23×	`cbrt-undiv_binary64_1135`
21×	`associate-/r*_binary64_1045`
20×	`flip3--_binary64_1105` `flip--_binary64_1076`
16×	`div-inv_binary64_1098`
11×	`pow1_binary64_1162` `frac-times_binary64_1111` `associate-*l/_binary64_1044`
6×	`add-log-exp_binary64_1140` `associate-l_binary64_1042` `associate-/l*_binary64_1046`
5×	`1-exp_binary64_1145` `rec-exp_binary64_1151`
4×	`pow-prod-down_binary64_1172` `associate-*r/_binary64_1043`
2×	`*-commutative_binary64_1032` `unswap-sqr_binary64_1069`
1×	`sum-log_binary64_1192` `flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031` `frac-2neg_binary64_1112` `clear-num_binary64_1100`

Counts

4 → 404

Calls

4 calls:

46.0ms	(.f64 (.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (-.f64 a z))) (/.f64 (cbrt.f64 1) (/.f64 1 (-.f64 t x))))
15.0ms	(.f64 (-.f64 y z) (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (-.f64 a z)))
12.0ms	(/.f64 (cbrt.f64 1) (/.f64 1 (-.f64 t x)))
5.0ms	(+.f64 x (.f64 (.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (-.f64 a z))) (/.f64 (cbrt.f64 1) (/.f64 1 (-.f64 t x)))))

Compiler

Compiled 13331 to 7984 computations (40.1% saved)

series2.9s (4.5%)

Error

0.7b

Counts

4 → 109

Calls

4 calls:

1.5s	(+.f64 x (.f64 (.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (-.f64 a z))) (/.f64 (cbrt.f64 1) (/.f64 1 (-.f64 t x)))))
854.0ms	(.f64 (.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (-.f64 a z))) (/.f64 (cbrt.f64 1) (/.f64 1 (-.f64 t x))))
281.0ms	(.f64 (-.f64 y z) (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (-.f64 a z)))
73.0ms	(/.f64 (cbrt.f64 1) (/.f64 1 (-.f64 t x)))

Compiler

Compiled 7530 to 4520 computations (40% saved)

simplify141.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

513 → 513

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5033	14329

prune934.0ms (1.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	512	1	513
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	513	9	522

Error

0.7b

Counts

522 → 9

Compiler

Compiled 10087 to 4884 computations (51.6% saved)

regimes44.1s (68.6%)

Accuracy

Total 4.6b remaining (83.4%)

Threshold costs 0b (0%)

Compiler

Compiled 259169 to 185520 computations (28.4% saved)

bsearch85.0ms (0.1%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	221	264
1	221	264

end8.0ms (0%)

Compiler: Compiled 175 to 60 computations (65.7% saved)

sample1.2s (1.9%)

Algorithm

1×

intervals

Results

318.0ms	6732×	body	128	valid
65.0ms	400×	body	1024	valid
58.0ms	1258×	body	128	invalid
57.0ms	463×	body	512	valid
29.0ms	350×	body	256	valid
11.0ms	55×	body	2048	valid

Compiler

Compiled 445 to 256 computations (42.5% saved)

Details

analyze1.3s (2%)

sample32.0ms (0.1%)

simplify76.0ms (0.1%)

prune2.0ms (0%)

localize10.0ms (0%)

rewrite203.0ms (0.3%)

series2.9s (4.5%)

simplify85.0ms (0.1%)

prune240.0ms (0.4%)

localize15.0ms (0%)

rewrite320.0ms (0.5%)

series3.1s (4.8%)

simplify79.0ms (0.1%)

prune314.0ms (0.5%)

localize12.0ms (0%)

rewrite706.0ms (1.1%)

series3.4s (5.2%)

simplify127.0ms (0.2%)

prune552.0ms (0.9%)

localize16.0ms (0%)

rewrite1.4s (2.2%)

series2.9s (4.5%)

simplify141.0ms (0.2%)

prune934.0ms (1.5%)

regimes44.1s (68.6%)

bsearch85.0ms (0.1%)

simplify6.0ms (0%)

end8.0ms (0%)

sample1.2s (1.9%)

Profiling