Details

analyze1.2s (8.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5278	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
12.2%	87.6%	0.2%	13
21.8%	77.8%	0.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample35.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	216×	body	128	valid
2.0ms	14×	body	1024	valid
2.0ms	16×	body	512	valid
1.0ms	32×	body	128	invalid
1.0ms	8×	body	256	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4936	19
1	4936	19

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

26.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t x))
1.2b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
20.1b	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))

rewrite129.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

9.9b

Rules

19×	`add-sqr-sqrt_binary64_15445` `*-un-lft-identity_binary64_15423`
13×	`flip3--_binary64_15427` `flip--_binary64_15398`
10×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
9×	`add-cube-cbrt_binary64_15458`
8×	`frac-times_binary64_15433` `associate-/l/_binary64_15370`
6×	`cancel-sign-sub-inv_binary64_15389`
5×	`pow1_binary64_15484` `add-log-exp_binary64_15462` `times-frac_binary64_15429` `associate-/r_binary64_15367` `associate-l_binary64_15364` `associate-r*_binary64_15363`
4×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375` `associate-l/_binary64_15366` `associate-r/_binary64_15365` `distribute-rgt-in_binary64_15373` `distribute-lft-in_binary64_15372`
2×	`prod-exp_binary64_15472` `div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `cbrt-unprod_binary64_15456` `associate-/r/_binary64_15369` `sub-neg_binary64_15416`
1×	`frac-2neg_binary64_15434` `clear-num_binary64_15422` `div-inv_binary64_15420` `associate-/l_binary64_15368` `sum-log_binary64_15514` `flip3-+_binary64_15426` `flip-+_binary64_15397` `distribute-lft-out_binary64_15374` `+-commutative_binary64_15353` `pow-prod-down_binary64_15494` `unswap-sqr_binary64_15391` `-commutative_binary64_15354`

Counts

3 → 85

Calls

3 calls:

14.0ms	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))
11.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
8.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))

Compiler

Compiled 1987 to 456 computations (77.1% saved)

series1.9s (13.4%)

Error

0.8b

Counts

3 → 98

Calls

3 calls:

870.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
723.0ms	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))
188.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

Compiler

Compiled 7628 to 3832 computations (49.8% saved)

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5265	5646

prune172.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	175	8	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	176	8	184

Error

0.8b

Counts

184 → 8

Compiler

Compiled 4870 to 835 computations (82.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 a z))
0.5b	(cbrt.f64 (-.f64 a z))
1.8b	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
8.8b	(+.f64 x (.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))

rewrite209.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

75×	`add-sqr-sqrt_binary64_15445`
59×	`*-un-lft-identity_binary64_15423`
52×	`times-frac_binary64_15429`
46×	`associate-r_binary64_15363`
37×	`cbrt-prod_binary64_15454`
27×	`add-cube-cbrt_binary64_15458`
25×	`add-exp-log_binary64_15461`
18×	`add-cbrt-cube_binary64_15459` `cbrt-div_binary64_15455`
17×	`associate-l_binary64_15364`
16×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
10×	`associate-/r/_binary64_15369`
9×	`flip3--_binary64_15427` `flip--_binary64_15398`
8×	`prod-exp_binary64_15472` `cbrt-unprod_binary64_15456`
7×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457`
6×	`add-log-exp_binary64_15462` `pow1_binary64_15484` `unswap-sqr_binary64_15391`
5×	`frac-times_binary64_15433`
3×	`associate-l/_binary64_15366` `associate-r/_binary64_15365`
2×	`div-inv_binary64_15420` `pow1/3_binary64_15505`
1×	`sum-log_binary64_15514` `flip3-+_binary64_15426` `flip-+_binary64_15397` `+-commutative_binary64_15353` `pow-prod-down_binary64_15494` `*-commutative_binary64_15354`

Counts

4 → 134

Calls

4 calls:

41.0ms	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
5.0ms	(+.f64 x (.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))
3.0ms	(cbrt.f64 (-.f64 a z))
3.0ms	(cbrt.f64 (-.f64 a z))

Compiler

Compiled 5000 to 719 computations (85.6% saved)

series1.8s (12.9%)

Error

0.8b

Counts

4 → 96

Calls

4 calls:

946.0ms	(+.f64 x (.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))
551.0ms	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
116.0ms	(cbrt.f64 (-.f64 a z))
101.0ms	(cbrt.f64 (-.f64 a z))

Compiler

Compiled 8896 to 4937 computations (44.5% saved)

simplify105.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4986	7779
1	4986	7779

prune211.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	228	2	230
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	229	9	238

Error

0.8b

Counts

238 → 9

Compiler

Compiled 7556 to 1288 computations (83% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a z) (-.f64 t x))
2.9b	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
4.8b	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))

rewrite355.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

330×	`times-frac_binary64_15429`
323×	`*-un-lft-identity_binary64_15423`
321×	`add-sqr-sqrt_binary64_15445`
113×	`add-cube-cbrt_binary64_15458`
104×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
36×	`associate-/r*_binary64_15367`
15×	`associate-/r/_binary64_15369`
10×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459` `associate-/l*_binary64_15368`
9×	`flip3--_binary64_15427` `flip--_binary64_15398`
8×	`div-inv_binary64_15420`
5×	`add-log-exp_binary64_15462`
4×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `associate-/l/_binary64_15370`
3×	`pow1_binary64_15484` `div-sub_binary64_15428`
2×	`frac-2neg_binary64_15434` `clear-num_binary64_15422`
1×	`sum-log_binary64_15514` `flip3-+_binary64_15426` `flip-+_binary64_15397` `distribute-lft-out_binary64_15374` `associate-+r-_binary64_15357` `+-commutative_binary64_15353`

Counts

3 → 274

Calls

3 calls:

45.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
21.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))
9.0ms	(/.f64 (-.f64 a z) (-.f64 t x))

Compiler

Compiled 7392 to 1404 computations (81% saved)

series1.7s (12.2%)

Error

0.8b

Counts

3 → 101

Calls

3 calls:

873.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
512.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))
233.0ms	(/.f64 (-.f64 a z) (-.f64 t x))

Compiler

Compiled 8174 to 4250 computations (48% saved)

simplify143.0ms (1%)

Algorithm

1×	egg-herbie

Counts

375 → 375

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5336	12756

prune287.0ms (2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	374	1	375
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	375	9	384

Error

0.8b

Counts

384 → 9

Compiler

Compiled 10218 to 1394 computations (86.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 a z))
0.5b	(cbrt.f64 (-.f64 a z))
4.8b	(/.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))) (/.f64 (cbrt.f64 (-.f64 a z)) (-.f64 t x))))
8.0b	(+.f64 x (/.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))) (/.f64 (cbrt.f64 (-.f64 a z)) (-.f64 t x)))))

rewrite160.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

28×	`cbrt-div_binary64_15455`
22×	`add-exp-log_binary64_15461`
18×	`*-un-lft-identity_binary64_15423`
17×	`associate-/r/_binary64_15369`
16×	`add-cbrt-cube_binary64_15459` `add-sqr-sqrt_binary64_15445` `frac-times_binary64_15433`
15×	`flip3--_binary64_15427` `flip--_binary64_15398`
12×	`associate-*l/_binary64_15366`
10×	`cbrt-prod_binary64_15454`
8×	`add-cube-cbrt_binary64_15458`
7×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457`
6×	`add-log-exp_binary64_15462` `prod-exp_binary64_15472` `cbrt-unprod_binary64_15456`
5×	`times-frac_binary64_15429` `associate-r/_binary64_15365` `associate-/l_binary64_15368`
4×	`pow1_binary64_15484` `difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
2×	`div-sub_binary64_15428` `associate-/l/_binary64_15370` `pow1/3_binary64_15505`
1×	`sum-log_binary64_15514` `flip3-+_binary64_15426` `flip-+_binary64_15397` `distribute-lft-out_binary64_15374` `associate-+r-_binary64_15357` `+-commutative_binary64_15353` `frac-2neg_binary64_15434` `clear-num_binary64_15422` `div-inv_binary64_15420` `associate-/r*_binary64_15367`

Counts

4 → 94

Calls

4 calls:

29.0ms	(/.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))) (/.f64 (cbrt.f64 (-.f64 a z)) (-.f64 t x))))
14.0ms	(+.f64 x (/.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))) (/.f64 (cbrt.f64 (-.f64 a z)) (-.f64 t x)))))
3.0ms	(cbrt.f64 (-.f64 a z))
3.0ms	(cbrt.f64 (-.f64 a z))

Compiler

Compiled 3488 to 563 computations (83.9% saved)

series1.8s (12.9%)

Error

0.8b

Counts

4 → 96

Calls

4 calls:

957.0ms	(+.f64 x (/.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))) (/.f64 (cbrt.f64 (-.f64 a z)) (-.f64 t x)))))
539.0ms	(/.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))) (/.f64 (cbrt.f64 (-.f64 a z)) (-.f64 t x))))
105.0ms	(cbrt.f64 (-.f64 a z))
102.0ms	(cbrt.f64 (-.f64 a z))

Compiler

Compiled 8896 to 4947 computations (44.4% saved)

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5093	6135

prune163.0ms (1.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	189	10	199

Error

0.8b

Counts

199 → 10

Compiler

Compiled 5831 to 1042 computations (82.1% saved)

regimes1.2s (8.7%)

Accuracy

Total 6.9b remaining (90.4%)

Threshold costs 0b (0%)

Compiler

Compiled 10514 to 7020 computations (33.2% saved)

bsearch6.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	125	118
1	125	118

end0.0ms (0%)

sample2.1s (15.1%)

Algorithm

1×

intervals

Results

268.0ms	6720×	body	128	valid
58.0ms	1169×	body	128	invalid
58.0ms	378×	body	1024	valid
56.0ms	481×	body	512	valid
25.0ms	350×	body	256	valid
13.0ms	71×	body	2048	valid

Compiler

Compiled 1862 to 1218 computations (34.6% saved)

Details

analyze1.2s (8.5%)

sample35.0ms (0.2%)

simplify96.0ms (0.7%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite129.0ms (0.9%)

series1.9s (13.4%)

simplify83.0ms (0.6%)

prune172.0ms (1.2%)

localize12.0ms (0.1%)

rewrite209.0ms (1.5%)

series1.8s (12.9%)

simplify105.0ms (0.7%)

prune211.0ms (1.5%)

localize9.0ms (0.1%)

rewrite355.0ms (2.5%)

series1.7s (12.2%)

simplify143.0ms (1%)

prune287.0ms (2%)

localize13.0ms (0.1%)

rewrite160.0ms (1.1%)

series1.8s (12.9%)

simplify94.0ms (0.7%)

prune163.0ms (1.2%)

regimes1.2s (8.7%)

bsearch6.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.1s (15.1%)

Profiling