Details

analyze605.0ms (3.7%)

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)

sample63.0ms (0.4%)

Algorithm

1×

intervals

Results

17.0ms	122×	body	256	valid
11.0ms	277×	pre	128	true
9.0ms	47×	body	512	valid
6.0ms	87×	body	128	valid
1.0ms	21×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify373.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (367.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune5.0ms (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

53.7b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize17.0ms (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))
0.2b	(.f64 (.f64 3 a) c)
28.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite212.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

50.8b

Rules

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

Counts

4 → 77

Calls

4 calls:

20.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
17.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
7.0ms	(.f64 (.f64 3 a) c)
6.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series951.0ms (5.8%)

Error

0.2b

Counts

4 → 60

Calls

4 calls:

326.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
265.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
214.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
71.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5268	2923

prune213.0ms (1.3%)

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 3178 to 1758 computations (44.7% saved)

localize60.0ms (0.4%)

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

rewrite917.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

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

Counts

4 → 202

Calls

4 calls:

21.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
19.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
18.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
11.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 10444 to 6552 computations (37.3% saved)

series1.4s (8.5%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

427.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
382.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
319.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
184.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4455 to 3322 computations (25.4% saved)

simplify131.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5089	3808

prune1.1s (6.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	234	8	242

Error

0.1b

Counts

242 → 8

Compiler

Compiled 11649 to 7286 computations (37.5% saved)

localize63.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite1.0s (6.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

88×	`add-exp-log_binary64_1480`
68×	`times-frac_binary64_1448`
46×	`pow1_binary64_1503`
42×	`unpow-prod-down_binary64_1521`
39×	`add-cbrt-cube_binary64_1478`
37×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
36×	`prod-exp_binary64_1491`
27×	`div-exp_binary64_1493`
20×	`sqr-pow_binary64_1414`
19×	`associate-/r*_binary64_1386`
18×	`pow-prod-down_binary64_1513`
17×	`pow-exp_binary64_1510` `cbrt-unprod_binary64_1475`
15×	`cube-prod_binary64_1470`
13×	`pow-to-exp_binary64_1511`
11×	`unpow3_binary64_1508` `cube-mult_binary64_1472`
9×	`associate-/l*_binary64_1387`
6×	`cbrt-undiv_binary64_1476`
4×	`add-log-exp_binary64_1481` `pow-prod-up_binary64_1512` `pow-sqr_binary64_1415`
3×	`pow-unpow_binary64_1519`
2×	`pow-pow_binary64_1514` `rem-cube-cbrt_binary64_1465` `pow-plus_binary64_1505` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439`
1×	`pow2_binary64_1523` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `associate-r_binary64_1382` `*-commutative_binary64_1373`

Counts

4 → 205

Calls

4 calls:

23.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
14.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
13.0ms	(.f64 (.f64 a c) (*.f64 a c))
8.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 12069 to 7095 computations (41.2% saved)

series1.1s (6.8%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

424.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
336.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
152.0ms	(pow.f64 (*.f64 a c) 3)
126.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4680 to 3396 computations (27.4% saved)

simplify133.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5132	3471

prune1.1s (6.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	235	8	243

Error

0.1b

Counts

243 → 8

Compiler

Compiled 12990 to 7980 computations (38.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite607.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

88×	`add-exp-log_binary64_1480`
68×	`times-frac_binary64_1448`
46×	`pow1_binary64_1503`
42×	`unpow-prod-down_binary64_1521`
39×	`add-cbrt-cube_binary64_1478`
37×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
36×	`prod-exp_binary64_1491`
27×	`div-exp_binary64_1493`
20×	`sqr-pow_binary64_1414`
19×	`associate-/r*_binary64_1386`
18×	`pow-prod-down_binary64_1513`
17×	`pow-exp_binary64_1510` `cbrt-unprod_binary64_1475`
15×	`cube-prod_binary64_1470`
13×	`pow-to-exp_binary64_1511`
11×	`unpow3_binary64_1508` `cube-mult_binary64_1472`
9×	`associate-/l*_binary64_1387`
6×	`cbrt-undiv_binary64_1476`
4×	`add-log-exp_binary64_1481` `pow-prod-up_binary64_1512` `pow-sqr_binary64_1415`
3×	`pow-unpow_binary64_1519`
2×	`pow-pow_binary64_1514` `rem-cube-cbrt_binary64_1465` `pow-plus_binary64_1505` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439`
1×	`pow2_binary64_1523` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `associate-r_binary64_1382` `*-commutative_binary64_1373`

Counts

4 → 205

Calls

4 calls:

15.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
10.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
8.0ms	(.f64 (.f64 a c) (*.f64 a c))
5.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9199 to 4840 computations (47.4% saved)

series904.0ms (5.5%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

373.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
269.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
116.0ms	(pow.f64 (*.f64 a c) 3)
90.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 3420 to 2406 computations (29.6% saved)

simplify103.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5132	3471

prune518.0ms (3.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	235	8	243

Error

0.1b

Counts

243 → 8

Compiler

Compiled 9490 to 5248 computations (44.7% saved)

regimes890.0ms (5.4%)

Accuracy

Total 1.2b remaining (87.8%)

Threshold costs 0b (0%)

Compiler

Compiled 10415 to 7565 computations (27.4% saved)

bsearch0.0ms (0%)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	241	69
1	241	69

end0.0ms (0%)

sample3.7s (22.7%)

Algorithm

1×

intervals

Results

458.0ms	3752×	body	256	valid
325.0ms	8819×	pre	128	true
278.0ms	1507×	body	512	valid
170.0ms	2741×	body	128	valid
46.0ms	819×	body	128	nan

Compiler

Compiled 1978 to 1446 computations (26.9% saved)

Details

analyze605.0ms (3.7%)

sample63.0ms (0.4%)

simplify373.0ms (2.3%)

prune5.0ms (0%)

localize17.0ms (0.1%)

rewrite212.0ms (1.3%)

series951.0ms (5.8%)

simplify86.0ms (0.5%)

prune213.0ms (1.3%)

localize60.0ms (0.4%)

rewrite917.0ms (5.6%)

series1.4s (8.5%)

simplify131.0ms (0.8%)

prune1.1s (6.8%)

localize63.0ms (0.4%)

rewrite1.0s (6.4%)

series1.1s (6.8%)

simplify133.0ms (0.8%)

prune1.1s (6.6%)

localize22.0ms (0.1%)

rewrite607.0ms (3.7%)

series904.0ms (5.5%)

simplify103.0ms (0.6%)

prune518.0ms (3.2%)

regimes890.0ms (5.4%)

bsearch0.0ms (0%)

simplify8.0ms (0%)

end0.0ms (0%)

sample3.7s (22.7%)

Profiling