Details

analyze491.0ms (4.3%)

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

Symmetry

Compiler

Compiled 30 to 24 computations (20% saved)

sample48.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	108×	body	256	valid
8.0ms	289×	pre	128	true
6.0ms	48×	body	512	valid
5.0ms	100×	body	128	valid
1.0ms	33×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify277.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (272.0ms)

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

51.6b

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)
26.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite151.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

48.8b

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:

11.0ms	(/.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)

series636.0ms (5.6%)

Error

0.2b

Counts

4 → 60

Calls

4 calls:

209.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
158.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
148.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
56.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5268	2923

prune153.0ms (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 3189 to 1763 computations (44.7% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite606.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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×	`sqr-pow_binary64_1414` `cbrt-undiv_binary64_1476`
4×	`pow1_binary64_1503` `add-log-exp_binary64_1481` `unswap-sqr_binary64_1410`
3×	`unpow3_binary64_1508` `cube-mult_binary64_1472` `frac-2neg_binary64_1453` `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))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 9557 to 5961 computations (37.6% saved)

series1.0s (8.8%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

337.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
283.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
217.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
110.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4455 to 3346 computations (24.9% saved)

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4950	3467
1	4950	3467

prune602.0ms (5.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	219	7	226

Error

0.1b

Counts

226 → 7

Compiler

Compiled 10728 to 6743 computations (37.1% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite562.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

127×	`add-exp-log_binary64_1480`
60×	`prod-exp_binary64_1491`
46×	`pow1_binary64_1503`
45×	`div-exp_binary64_1493`
42×	`add-cbrt-cube_binary64_1478`
35×	`pow-exp_binary64_1510`
34×	`pow-to-exp_binary64_1511`
19×	`times-frac_binary64_1448` `associate-/r*_binary64_1386`
18×	`pow-prod-down_binary64_1513` `cbrt-unprod_binary64_1475`
15×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
13×	`unpow-prod-down_binary64_1521`
7×	`cube-prod_binary64_1470` `cbrt-undiv_binary64_1476`
5×	`sqr-pow_binary64_1414`
4×	`add-log-exp_binary64_1481` `pow-prod-up_binary64_1512` `pow-sqr_binary64_1415`
3×	`pow-unpow_binary64_1519` `unpow3_binary64_1508` `cube-mult_binary64_1472`
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` `associate-/l*_binary64_1387`
1×	`pow2_binary64_1523` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `associate-r_binary64_1382` `*-commutative_binary64_1373`

Counts

4 → 168

Calls

4 calls:

14.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9569 to 5620 computations (41.3% saved)

series818.0ms (7.1%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

334.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
223.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
103.0ms	(pow.f64 (*.f64 a c) 3)
95.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4626 to 3315 computations (28.3% saved)

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4971	2399
1	4971	2399

prune609.0ms (5.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	198	7	205

Error

0.1b

Counts

205 → 7

Compiler

Compiled 10476 to 6394 computations (39% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))
0.3b	(.f64 3 (.f64 a c))
0.3b	(.f64 3 (.f64 a c))
26.6b	(-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b))

rewrite260.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

54×	`times-frac_binary64_1448`
40×	`*-un-lft-identity_binary64_1442`
33×	`add-sqr-sqrt_binary64_1464`
26×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
24×	`add-cube-cbrt_binary64_1477`
22×	`associate-/l*_binary64_1387`
14×	`pow1_binary64_1503`
9×	`add-log-exp_binary64_1481` `difference-of-squares_binary64_1411`
8×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `distribute-lft-out_binary64_1393`
6×	`pow-prod-down_binary64_1513` `associate-l_binary64_1383` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
4×	`associate-/r/_binary64_1388`
3×	`diff-log_binary64_1534` `div-inv_binary64_1439`
2×	`sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408` `associate--l+_binary64_1379` `associate-r_binary64_1382` `*-commutative_binary64_1373` `flip3-+_binary64_1445` `flip-+_binary64_1416` `div-sub_binary64_1447`
1×	`flip3--_binary64_1446` `flip--_binary64_1417` `associate--l-_binary64_1380` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-/l/_binary64_1389` `associate-/r*_binary64_1386`

Counts

4 → 118

Calls

4 calls:

17.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))
7.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b))
5.0ms	(.f64 3 (.f64 a c))
5.0ms	(.f64 3 (.f64 a c))

Compiler

Compiled 5559 to 2577 computations (53.6% saved)

series450.0ms (3.9%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

217.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))
87.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b))
56.0ms	(.f64 3 (.f64 a c))
52.0ms	(.f64 3 (.f64 a c))

Compiler

Compiled 2578 to 1659 computations (35.6% saved)

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4964	4184
1	4964	4184

prune211.0ms (1.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	153	4	157
Fresh	3	1	4
Picked	0	1	1
Done	0	2	2
Total	156	8	164

Error

Counts

164 → 8

Compiler

Compiled 5322 to 2637 computations (50.5% saved)

regimes905.0ms (7.9%)

Accuracy

Total 0.5b remaining (98.2%)

Threshold costs 0.5b (98.2%)

Compiler

Compiled 14072 to 9849 computations (30% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	33
1	63	33

Removed

()

end0.0ms (0%)

sample3.2s (28.1%)

Algorithm

1×

intervals

Results

348.0ms	3694×	body	256	valid
275.0ms	8781×	pre	128	true
205.0ms	1505×	body	512	valid
147.0ms	2801×	body	128	valid
37.0ms	781×	body	128	nan

Compiler

Compiled 2680 to 1877 computations (30% saved)

Details

analyze491.0ms (4.3%)

sample48.0ms (0.4%)

simplify277.0ms (2.4%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite151.0ms (1.3%)

series636.0ms (5.6%)

simplify110.0ms (1%)

prune153.0ms (1.3%)

localize29.0ms (0.3%)

rewrite606.0ms (5.3%)

series1.0s (8.8%)

simplify88.0ms (0.8%)

prune602.0ms (5.3%)

localize30.0ms (0.3%)

rewrite562.0ms (4.9%)

series818.0ms (7.1%)

simplify80.0ms (0.7%)

prune609.0ms (5.3%)

localize13.0ms (0.1%)

rewrite260.0ms (2.3%)

series450.0ms (3.9%)

simplify85.0ms (0.7%)

prune211.0ms (1.8%)

regimes905.0ms (7.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.2s (28.1%)

Profiling