Details

analyze270.0ms (2.6%)

Algorithm

1×

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)

sample39.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	104×	body	256	valid
9.0ms	293×	pre	128	true
8.0ms	152×	body	128	valid
2.0ms	37×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify366.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (271.0ms)

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

45.0b

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))
0.3b	(.f64 (.f64 3 a) c)
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
42.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite42.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1464`
14×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `*-un-lft-identity_binary64_1442`
9×	`pow1_binary64_1503`
8×	`add-log-exp_binary64_1481` `add-cube-cbrt_binary64_1477`
6×	`times-frac_binary64_1448` `associate-/l*_binary64_1387` `difference-of-squares_binary64_1411`
4×	`cancel-sign-sub-inv_binary64_1408` `cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
3×	`associate-r_binary64_1382` `flip3--_binary64_1446` `pow-prod-down_binary64_1513` `flip--_binary64_1417` `sqrt-prod_binary64_1458` `distribute-lft-out--_binary64_1394`
2×	`cbrt-undiv_binary64_1476` `associate-/l/_binary64_1389` `sub-neg_binary64_1435` `diff-log_binary64_1534` `div-exp_binary64_1493`
1×	`associate-/r_binary64_1386` `div-inv_binary64_1439` `clear-num_binary64_1441` `associate-l_binary64_1383` `-commutative_binary64_1373` `frac-2neg_binary64_1453` `div-sub_binary64_1447`

Counts

4 → 77

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
10.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series566.0ms (5.4%)

Counts

4 → 60

Calls

4 calls:

201.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
156.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
155.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
54.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 1692 to 1453 computations (14.1% saved)

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5268	2923

prune188.0ms (1.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	126	11	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	11	138

Error

0.4b

Counts

138 → 11

Compiler

Compiled 3316 to 1955 computations (41% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
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))

rewrite67.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`add-exp-log_binary64_1480`
72×	`prod-exp_binary64_1491`
60×	`div-exp_binary64_1493`
46×	`pow-exp_binary64_1510` `pow-to-exp_binary64_1511`
32×	`add-cbrt-cube_binary64_1478`
26×	`associate-/r*_binary64_1386` `times-frac_binary64_1448`
24×	`add-sqr-sqrt_binary64_1464`
22×	`unpow-prod-down_binary64_1521`
21×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
12×	`associate-r_binary64_1382`
10×	`cbrt-unprod_binary64_1475` `cube-prod_binary64_1470`
8×	`cbrt-undiv_binary64_1476` `sqr-pow_binary64_1414`
4×	`add-log-exp_binary64_1481` `pow1_binary64_1503` `unswap-sqr_binary64_1410`
3×	`cube-mult_binary64_1472` `div-inv_binary64_1439` `clear-num_binary64_1441` `associate-/l*_binary64_1387` `frac-2neg_binary64_1453` `unpow3_binary64_1508`
1×	`associate-l_binary64_1383` `*-commutative_binary64_1373`

Counts

4 → 186

Calls

4 calls:

12.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
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))

series948.0ms (9.1%)

Counts

4 → 33

Calls

4 calls:

322.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
293.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
222.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
110.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 2970 to 2358 computations (20.6% saved)

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4950	3467
1	4950	3467

prune629.0ms (6.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	217	2	219
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	218	12	230

Error

0.4b

Counts

230 → 12

Compiler

Compiled 10932 to 6899 computations (36.9% saved)

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.4b	(.f64 (.f64 a a) (*.f64 c c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite88.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`times-frac_binary64_1448`
44×	`add-exp-log_binary64_1480`
36×	`unpow-prod-down_binary64_1521`
35×	`pow1_binary64_1503`
33×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
26×	`add-cbrt-cube_binary64_1478`
18×	`sqr-pow_binary64_1414`
15×	`pow-prod-down_binary64_1513`
14×	`div-exp_binary64_1493`
13×	`prod-exp_binary64_1491`
12×	`pow-exp_binary64_1510`
11×	`associate-/l*_binary64_1387`
10×	`associate-*r/_binary64_1384` `cbrt-unprod_binary64_1475`
9×	`cube-mult_binary64_1472` `cube-prod_binary64_1470` `unpow3_binary64_1508`
8×	`associate-/r*_binary64_1386` `pow-to-exp_binary64_1511`
7×	`associate-/l/_binary64_1389`
5×	`frac-sub_binary64_1451`
4×	`pow-plus_binary64_1505` `add-log-exp_binary64_1481` `pow-prod-up_binary64_1512` `frac-add_binary64_1450`
3×	`cbrt-undiv_binary64_1476` `pow-unpow_binary64_1519`
2×	`pow2_binary64_1523` `div-inv_binary64_1439` `clear-num_binary64_1441` `pow-sqr_binary64_1415` `rem-cube-cbrt_binary64_1465` `frac-2neg_binary64_1453` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow-pow_binary64_1514`
1×	`associate-r_binary64_1382` `flip3--_binary64_1446` `associate-l_binary64_1383` `*-commutative_binary64_1373` `flip--_binary64_1417` `div-sub_binary64_1447` `unswap-sqr_binary64_1410`

Counts

4 → 174

Calls

4 calls:

32.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
9.0ms	(.f64 (.f64 a a) (*.f64 c c))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
4.0ms	(pow.f64 (*.f64 a c) 3)

series820.0ms (7.9%)

Counts

4 → 42

Calls

4 calls:

314.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
308.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
105.0ms	(pow.f64 (*.f64 a c) 3)
92.0ms	(.f64 (.f64 a a) (*.f64 c c))

Compiler

Compiled 2811 to 2248 computations (20% saved)

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5287	5581

prune846.0ms (8.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	209	7	216
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	211	17	228

Error

0.3b

Counts

228 → 17

Compiler

Compiled 13455 to 8244 computations (38.7% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b	(pow.f64 (*.f64 a c) 2)
0.7b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)

rewrite41.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`times-frac_binary64_1448`
38×	`unpow-prod-down_binary64_1521`
33×	`add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
20×	`sqr-pow_binary64_1414`
16×	`pow-exp_binary64_1510`
13×	`pow1_binary64_1503`
12×	`div-exp_binary64_1493`
10×	`pow-to-exp_binary64_1511`
9×	`add-cbrt-cube_binary64_1478` `cube-mult_binary64_1472` `cube-prod_binary64_1470` `pow-unpow_binary64_1519` `unpow3_binary64_1508`
8×	`associate-/l*_binary64_1387`
7×	`associate-/r*_binary64_1386`
6×	`prod-exp_binary64_1491` `pow-pow_binary64_1514`
4×	`add-log-exp_binary64_1481`
3×	`pow-prod-down_binary64_1513`
2×	`rem-cube-cbrt_binary64_1465`
1×	`cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475` `unpow2_binary64_1507` `div-inv_binary64_1439` `clear-num_binary64_1441` `frac-2neg_binary64_1453`

Counts

4 → 151

Calls

4 calls:

8.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 2)

series590.0ms (5.7%)

Counts

4 → 27

Calls

4 calls:

314.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
100.0ms	(pow.f64 (*.f64 a c) 3)
96.0ms	(pow.f64 (*.f64 a c) 4)
80.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 2754 to 2052 computations (25.5% saved)

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5251	2662

prune551.0ms (5.3%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	15	15
Picked	0	1	1
Done	0	1	1
Total	178	17	195

Error

0.3b

Counts

195 → 17

Compiler

Compiled 9570 to 5714 computations (40.3% saved)

regimes998.0ms (9.6%)

Accuracy

Total 2.6b remaining (89%)

Threshold costs 0b (0%)

Compiler

Compiled 12792 to 9007 computations (29.6% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	203	67
1	203	67

end0.0ms (0%)

sample2.9s (28%)

Algorithm

1×

intervals

Results

286.0ms	2831×	body	256	valid
270.0ms	8928×	pre	128	true
262.0ms	5169×	body	128	valid
46.0ms	928×	body	128	nan

Compiler

Compiled 2541 to 1790 computations (29.6% saved)

Details

analyze270.0ms (2.6%)

sample39.0ms (0.4%)

simplify366.0ms (3.5%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite42.0ms (0.4%)

series566.0ms (5.4%)

simplify57.0ms (0.5%)

prune188.0ms (1.8%)

localize30.0ms (0.3%)

rewrite67.0ms (0.6%)

series948.0ms (9.1%)

simplify94.0ms (0.9%)

prune629.0ms (6.1%)

localize37.0ms (0.4%)

rewrite88.0ms (0.9%)

series820.0ms (7.9%)

simplify98.0ms (0.9%)

prune846.0ms (8.1%)

localize32.0ms (0.3%)

rewrite41.0ms (0.4%)

series590.0ms (5.7%)

simplify73.0ms (0.7%)

prune551.0ms (5.3%)

regimes998.0ms (9.6%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.9s (28%)

Profiling