Details

analyze481.0ms (3.5%)

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 (0.3%)

Algorithm

1×

intervals

Results

13.0ms	112×	body	256	valid
8.0ms	284×	pre	128	true
6.0ms	47×	body	512	valid
4.0ms	97×	body	128	valid
1.0ms	28×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify281.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (275.0ms)

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

51.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (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)
27.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite148.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

48.4b

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:

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)

series597.0ms (4.3%)

Error

0.3b

Counts

4 → 60

Calls

4 calls:

190.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
147.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
140.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
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 (26.0ms)

Iter	Nodes	Cost
0	5268	2923

prune157.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	127	10	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	10	138

Error

0.3b

Counts

138 → 10

Compiler

Compiled 3253 to 1810 computations (44.4% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite630.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

144×	`add-exp-log_binary64_1480`
72×	`prod-exp_binary64_1491`
51×	`div-exp_binary64_1493`
49×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510`
40×	`add-sqr-sqrt_binary64_1464`
29×	`unpow-prod-down_binary64_1521`
25×	`add-cbrt-cube_binary64_1478`
20×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
19×	`associate-r_binary64_1382`
16×	`unswap-sqr_binary64_1410`
15×	`sqr-pow_binary64_1414`
14×	`times-frac_binary64_1448` `associate-/r*_binary64_1386`
13×	`associate-l_binary64_1383`
10×	`cube-prod_binary64_1470`
8×	`cbrt-unprod_binary64_1475`
5×	`cbrt-undiv_binary64_1476`
4×	`pow1_binary64_1503` `add-log-exp_binary64_1481`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/l_binary64_1387` `unpow3_binary64_1508` `cube-mult_binary64_1472` `-commutative_binary64_1373`

Counts

4 → 188

Calls

4 calls:

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

Compiler

Compiled 9711 to 6098 computations (37.2% saved)

series876.0ms (6.3%)

Error

0.3b

Counts

4 → 30

Calls

4 calls:

323.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
273.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
114.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
109.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3007 computations (25.8% saved)

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4984	3398
1	4984	3398

prune582.0ms (4.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	218	10	228

Error

0.3b

Counts

228 → 10

Compiler

Compiled 10851 to 6870 computations (36.7% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.5b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a 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))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite595.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

73×	`add-exp-log_binary64_1480`
46×	`pow1_binary64_1503`
42×	`add-cbrt-cube_binary64_1478`
34×	`prod-exp_binary64_1491`
18×	`pow-prod-down_binary64_1513` `cbrt-unprod_binary64_1475`
17×	`div-exp_binary64_1493`
15×	`times-frac_binary64_1448`
13×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `-un-lft-identity_binary64_1442` `associate-/r_binary64_1386`
10×	`associate-*r/_binary64_1384`
7×	`unpow-prod-down_binary64_1521` `pow-exp_binary64_1510` `cube-prod_binary64_1470` `cbrt-undiv_binary64_1476` `associate-/l/_binary64_1389`
6×	`pow-to-exp_binary64_1511`
5×	`frac-sub_binary64_1451`
4×	`add-log-exp_binary64_1481` `pow-prod-up_binary64_1512` `pow-sqr_binary64_1415` `frac-add_binary64_1450` `associate-/l*_binary64_1387`
3×	`pow-unpow_binary64_1519` `unpow3_binary64_1508` `cube-mult_binary64_1472` `sqr-pow_binary64_1414`
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` `flip3-+_binary64_1445` `flip-+_binary64_1416`
1×	`pow2_binary64_1523` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `associate-r_binary64_1382` `*-commutative_binary64_1373` `div-sub_binary64_1447` `flip3--_binary64_1446` `flip--_binary64_1417`

Counts

4 → 140

Calls

4 calls:

27.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a 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))
11.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
6.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9613 to 5645 computations (41.3% saved)

series818.0ms (5.9%)

Error

0.3b

Counts

4 → 42

Calls

4 calls:

323.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a 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))
235.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
99.0ms	(pow.f64 (*.f64 a c) 3)
88.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4327 to 3270 computations (24.4% saved)

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5124	4394

prune635.0ms (4.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	177	5	182
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	178	14	192

Error

0.2b

Counts

192 → 14

Compiler

Compiled 10988 to 6884 computations (37.3% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite569.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

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

Counts

4 → 170

Calls

4 calls:

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

Compiler

Compiled 9378 to 5813 computations (38% saved)

series562.0ms (4.1%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

220.0ms	(/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))
104.0ms	(pow.f64 (*.f64 a c) 3)
102.0ms	(pow.f64 (*.f64 a c) 4)
81.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 3969 to 2867 computations (27.8% saved)

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4963	2856
1	4963	2856

prune552.0ms (4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	197	14	211

Error

0.2b

Counts

211 → 14

Compiler

Compiled 10101 to 5951 computations (41.1% saved)

regimes1.4s (9.9%)

Accuracy

Total 1.3b remaining (89%)

Threshold costs 0b (0%)

Compiler

Compiled 24589 to 16824 computations (31.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	203	67
1	203	67

end0.0ms (0%)

sample4.5s (32.7%)

Algorithm

1×

intervals

Results

347.0ms	3781×	body	256	valid
259.0ms	8777×	pre	128	true
202.0ms	1472×	body	512	valid
130.0ms	2747×	body	128	valid
43.0ms	777×	body	128	nan

Compiler

Compiled 4789 to 3279 computations (31.5% saved)

Details

analyze481.0ms (3.5%)

sample47.0ms (0.3%)

simplify281.0ms (2%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite148.0ms (1.1%)

series597.0ms (4.3%)

simplify55.0ms (0.4%)

prune157.0ms (1.1%)

localize29.0ms (0.2%)

rewrite630.0ms (4.6%)

series876.0ms (6.3%)

simplify100.0ms (0.7%)

prune582.0ms (4.2%)

localize36.0ms (0.3%)

rewrite595.0ms (4.3%)

series818.0ms (5.9%)

simplify99.0ms (0.7%)

prune635.0ms (4.6%)

localize28.0ms (0.2%)

rewrite569.0ms (4.1%)

series562.0ms (4.1%)

simplify59.0ms (0.4%)

prune552.0ms (4%)

regimes1.4s (9.9%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.5s (32.7%)

Profiling