Details

analyze510.0ms (3.6%)

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)

sample48.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	106×	body	256	valid
8.0ms	289×	pre	128	true
7.0ms	53×	body	512	valid
5.0ms	97×	body	128	valid
2.0ms	33×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify294.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (285.0ms)

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

51.4b

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)
25.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite152.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

48.7b

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:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
9.0ms	(-.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)

series649.0ms (4.6%)

Error

0.3b

Counts

4 → 60

Calls

4 calls:

204.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
159.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
157.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
58.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5268	2923

prune157.0ms (1.1%)

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 3215 to 1785 computations (44.5% saved)

localize235.0ms (1.7%)

Local error

Found 4 expressions with local error:

0.3b	(/.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 a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite579.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

156×	`add-exp-log_binary64_1480`
72×	`prod-exp_binary64_1491`
60×	`div-exp_binary64_1493`
46×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510`
32×	`add-cbrt-cube_binary64_1478`
26×	`times-frac_binary64_1448` `associate-/r*_binary64_1386`
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×	`pow1_binary64_1503` `add-log-exp_binary64_1481` `unswap-sqr_binary64_1410`
3×	`frac-2neg_binary64_1453` `unpow3_binary64_1508` `cube-mult_binary64_1472` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/l*_binary64_1387`
1×	`associate-l_binary64_1383` `*-commutative_binary64_1373`

Counts

4 → 186

Calls

4 calls:

10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
10.0ms	(/.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))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 9557 to 5961 computations (37.6% saved)

series1.0s (7.1%)

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))
299.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
210.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
99.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4455 to 3346 computations (24.9% saved)

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4950	3467
1	4950	3467

prune662.0ms (4.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	219	9	228

Error

0.2b

Counts

228 → 9

Compiler

Compiled 10754 to 6765 computations (37.1% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.4b	(/.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))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite563.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

46×	`pow1_binary64_1503`
36×	`add-exp-log_binary64_1480`
26×	`add-cbrt-cube_binary64_1478`
23×	`add-sqr-sqrt_binary64_1464`
19×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491`
13×	`unpow-prod-down_binary64_1521`
11×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442` `cbrt-unprod_binary64_1475`
10×	`associate-*r/_binary64_1384`
9×	`sqr-pow_binary64_1414` `unswap-sqr_binary64_1410`
8×	`pow-exp_binary64_1510` `associate-l_binary64_1383` `associate-r_binary64_1382`
7×	`pow-to-exp_binary64_1511` `associate-/l/_binary64_1389`
5×	`frac-sub_binary64_1451`
4×	`add-log-exp_binary64_1481` `pow-prod-up_binary64_1512` `pow-sqr_binary64_1415` `frac-add_binary64_1450`
3×	`pow-unpow_binary64_1519` `times-frac_binary64_1448` `associate-/l*_binary64_1387`
2×	`pow-pow_binary64_1514` `rem-cube-cbrt_binary64_1465` `pow-plus_binary64_1505` `*-commutative_binary64_1373` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `flip3-+_binary64_1445` `flip-+_binary64_1416`
1×	`unpow3_binary64_1508` `cube-mult_binary64_1472` `cube-prod_binary64_1470` `pow2_binary64_1523` `swap-sqr_binary64_1409` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `flip3--_binary64_1446` `flip--_binary64_1417` `associate-/r*_binary64_1386`

Counts

4 → 127

Calls

4 calls:

30.0ms	(/.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))
8.0ms	(*.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 8846 to 5294 computations (40.2% saved)

series713.0ms (5.1%)

Error

0.2b

Counts

4 → 39

Calls

4 calls:

322.0ms	(/.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))
135.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
99.0ms	(pow.f64 (*.f64 a c) 3)
93.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 3868 to 2847 computations (26.4% saved)

simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4933	4010
1	4933	4010

prune556.0ms (3.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	161	5	166
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	163	12	175

Error

0.2b

Counts

175 → 12

Compiler

Compiled 10188 to 6202 computations (39.1% 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)
0.8b	(pow.f64 (*.f64 a c) 3)
1.0b	(pow.f64 (*.f64 a c) 4)

rewrite606.0ms (4.3%)

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)

series557.0ms (4%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

233.0ms	(/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))
101.0ms	(pow.f64 (*.f64 a c) 4)
92.0ms	(pow.f64 (*.f64 a c) 3)
72.0ms	(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

prune562.0ms (4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	197	12	209

Error

0.2b

Counts

209 → 12

Compiler

Compiled 10101 to 5951 computations (41.1% saved)

regimes1.3s (9.5%)

Accuracy

Total 1.3b remaining (88.3%)

Threshold costs 0b (0%)

Compiler

Compiled 23361 to 15913 computations (31.9% 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 (32.1%)

Algorithm

1×

intervals

Results

367.0ms	3806×	body	256	valid
272.0ms	8815×	pre	128	true
208.0ms	1450×	body	512	valid
139.0ms	2744×	body	128	valid
40.0ms	815×	body	128	nan

Compiler

Compiled 4553 to 3102 computations (31.9% saved)

Details

analyze510.0ms (3.6%)

sample48.0ms (0.3%)

simplify294.0ms (2.1%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite152.0ms (1.1%)

series649.0ms (4.6%)

simplify56.0ms (0.4%)

prune157.0ms (1.1%)

localize235.0ms (1.7%)

rewrite579.0ms (4.1%)

series1.0s (7.1%)

simplify94.0ms (0.7%)

prune662.0ms (4.7%)

localize33.0ms (0.2%)

rewrite563.0ms (4%)

series713.0ms (5.1%)

simplify87.0ms (0.6%)

prune556.0ms (3.9%)

localize28.0ms (0.2%)

rewrite606.0ms (4.3%)

series557.0ms (4%)

simplify59.0ms (0.4%)

prune562.0ms (4%)

regimes1.3s (9.5%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.5s (32.1%)

Profiling