Details

analyze344.0ms (4.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

Compiler

Compiled 18 to 17 computations (5.6% saved)

sample48.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	189×	body	128	valid
10.0ms	19×	body	1024	valid
7.0ms	26×	body	512	valid
4.0ms	22×	body	256	valid
1.0ms	10×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify221.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	5003	26

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

Merged error: 7.5b

Counts

2 → 1

Compiler

Compiled 34 to 32 computations (5.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
0.0b	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
7.8b	(log.f64 (-.f64 1 y))

rewrite43.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64_441`
31×	`*-un-lft-identity_binary64_419`
24×	`log-prod_binary64_505`
14×	`add-cube-cbrt_binary64_454` `associate-l_binary64_360`
11×	`difference-of-squares_binary64_388` `pow1_binary64_480`
9×	`add-log-exp_binary64_458` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `add-exp-log_binary64_457`
8×	`associate-r_binary64_359` `add-cbrt-cube_binary64_455`
6×	`distribute-lft-out--_binary64_371`
4×	`associate-*l/_binary64_362` `flip3--_binary64_423` `flip--_binary64_394`
3×	`log-pow_binary64_508` `cancel-sign-sub-inv_binary64_385`
2×	`pow-prod-down_binary64_490` `difference-of-sqr-1_binary64_389` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350` `diff-log_binary64_511` `log-div_binary64_506`
1×	`associate--l+_binary64_356` `sub-neg_binary64_412` `rem-log-exp_binary64_460` `sum-log_binary64_510`

Counts

4 → 103

Calls

4 calls:

12.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
10.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series1.1s (13.5%)

Counts

4 → 47

Calls

4 calls:

847.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
162.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
86.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
24.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 1462 to 1250 computations (14.5% saved)

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4979	2637
1	4979	2637

prune201.0ms (2.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	145	5	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	146	5	151

Merged error: 0.0b

Counts

151 → 5

Compiler

Compiled 3369 to 2206 computations (34.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
0.0b	(.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y)))))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
0.3b	(*.f64 1/3 y)

rewrite42.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_441`
19×	`*-un-lft-identity_binary64_419`
18×	`associate-l_binary64_360`
16×	`pow1_binary64_480`
15×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
13×	`add-cube-cbrt_binary64_454` `associate-r_binary64_359`
7×	`flip3--_binary64_423` `flip--_binary64_394`
6×	`pow-prod-down_binary64_490` `distribute-rgt-in_binary64_369` `log-prod_binary64_505` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `distribute-lft-in_binary64_368`
4×	`associate-l/_binary64_362` `difference-of-squares_binary64_388` `add-log-exp_binary64_458` `unswap-sqr_binary64_387` `frac-times_binary64_429` `associate-r/_binary64_361` `*-commutative_binary64_350`
2×	`sub-neg_binary64_412` `difference-of-sqr-1_binary64_389` `distribute-lft-out--_binary64_371` `cancel-sign-sub-inv_binary64_385`
1×	`flip3-+_binary64_422` `log-pow_binary64_508` `flip-+_binary64_393`

Counts

4 → 106

Calls

4 calls:

11.0ms	(.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y)))))
8.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 1/3 y)

series372.0ms (4.5%)

Counts

4 → 25

Calls

4 calls:

179.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
141.0ms	(.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y)))))
31.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
21.0ms	(*.f64 1/3 y)

Compiler

Compiled 1200 to 1013 computations (15.6% saved)

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4946	2263
1	4946	2263

prune196.0ms (2.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	129	7	136

Merged error: 0b

Counts

136 → 7

Compiler

Compiled 4229 to 2577 computations (39.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (+.f64 y (-.f64 (.f64 (.f64 y y) (-.f64 1/2 (.f64 z 1/2))) (*.f64 y z)))) t)
0.0b	(-.f64 (.f64 (.f64 y y) (-.f64 1/2 (.f64 z 1/2))) (.f64 y z))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
8.4b	(.f64 (.f64 y y) (-.f64 1/2 (*.f64 z 1/2)))

rewrite54.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp_binary64_458`
19×	`add-sqr-sqrt_binary64_441`
16×	`*-un-lft-identity_binary64_419`
12×	`pow1_binary64_480`
11×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
10×	`add-cube-cbrt_binary64_454`
8×	`associate-r_binary64_359` `associate-l_binary64_360` `cancel-sign-sub-inv_binary64_385`
7×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
6×	`sub-neg_binary64_412` `log-prod_binary64_505` `diff-log_binary64_511`
5×	`associate--l+_binary64_356` `sum-log_binary64_510`
4×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `flip3--_binary64_423` `flip--_binary64_394`
3×	`difference-of-squares_binary64_388`
2×	`associate-l/_binary64_362` `unswap-sqr_binary64_387` `associate-r/_binary64_361` `distribute-lft-out--_binary64_371` `*-commutative_binary64_350` `associate-+r-_binary64_353`
1×	`distribute-rgt-out--_binary64_373` `difference-of-sqr-1_binary64_389` `log-pow_binary64_508` `associate--l-_binary64_357`

Counts

4 → 94

Calls

4 calls:

18.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (+.f64 y (-.f64 (.f64 (.f64 y y) (-.f64 1/2 (.f64 z 1/2))) (*.f64 y z)))) t)
9.0ms	(-.f64 (.f64 (.f64 y y) (-.f64 1/2 (.f64 z 1/2))) (.f64 y z))
8.0ms	(.f64 (.f64 y y) (-.f64 1/2 (*.f64 z 1/2)))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))

series1.0s (12.6%)

Counts

4 → 47

Calls

4 calls:

711.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (+.f64 y (-.f64 (.f64 (.f64 y y) (-.f64 1/2 (.f64 z 1/2))) (*.f64 y z)))) t)
164.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
86.0ms	(-.f64 (.f64 (.f64 y y) (-.f64 1/2 (.f64 z 1/2))) (.f64 y z))
86.0ms	(.f64 (.f64 y y) (-.f64 1/2 (*.f64 z 1/2)))

Compiler

Compiled 1816 to 1476 computations (18.7% saved)

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4980	2791
1	4980	2791

prune174.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	141	7	148

Merged error: 0b

Counts

148 → 7

Compiler

Compiled 4003 to 2194 computations (45.2% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 1/3 y)
0.3b	(*.f64 1/3 y)
8.4b	(.f64 (-.f64 z 1) (+.f64 (.f64 y y) (.f64 (+.f64 (.f64 y -1/3) -1/2) (.f64 (+.f64 (.f64 1/3 y) 1/2) (pow.f64 y 4)))))
19.2b	(/.f64 (.f64 (-.f64 z 1) (+.f64 (.f64 y y) (.f64 (+.f64 (.f64 y -1/3) -1/2) (.f64 (+.f64 (.f64 1/3 y) 1/2) (pow.f64 y 4))))) (+.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))))

rewrite50.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_441`
15×	`*-un-lft-identity_binary64_419` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
13×	`associate-l_binary64_360`
12×	`add-cube-cbrt_binary64_454`
10×	`pow1_binary64_480`
9×	`associate-r_binary64_359`
8×	`frac-times_binary64_429` `associate-/l/_binary64_366`
7×	`flip3-+_binary64_422` `flip-+_binary64_393`
6×	`flip3--_binary64_423` `flip--_binary64_394`
4×	`associate-l/_binary64_362` `add-log-exp_binary64_458` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-r/_binary64_361`
3×	`pow-prod-down_binary64_490` `times-frac_binary64_425` `unswap-sqr_binary64_387` `-commutative_binary64_350` `associate-/r_binary64_363`
2×	`difference-of-squares_binary64_388` `associate-/r/_binary64_365` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`clear-num_binary64_418` `distribute-rgt-in_binary64_369` `difference-of-sqr-1_binary64_389` `div-inv_binary64_416` `distribute-lft-out--_binary64_371` `distribute-lft-in_binary64_368` `frac-2neg_binary64_430` `associate-/l*_binary64_364`

Counts

4 → 99

Calls

4 calls:

15.0ms	(/.f64 (.f64 (-.f64 z 1) (+.f64 (.f64 y y) (.f64 (+.f64 (.f64 y -1/3) -1/2) (.f64 (+.f64 (.f64 1/3 y) 1/2) (pow.f64 y 4))))) (+.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))))
10.0ms	(.f64 (-.f64 z 1) (+.f64 (.f64 y y) (.f64 (+.f64 (.f64 y -1/3) -1/2) (.f64 (+.f64 (.f64 1/3 y) 1/2) (pow.f64 y 4)))))
4.0ms	(*.f64 1/3 y)
4.0ms	(*.f64 1/3 y)

series613.0ms (7.4%)

Counts

4 → 23

Calls

4 calls:

387.0ms	(/.f64 (.f64 (-.f64 z 1) (+.f64 (.f64 y y) (.f64 (+.f64 (.f64 y -1/3) -1/2) (.f64 (+.f64 (.f64 1/3 y) 1/2) (pow.f64 y 4))))) (+.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))))
173.0ms	(.f64 (-.f64 z 1) (+.f64 (.f64 y y) (.f64 (+.f64 (.f64 y -1/3) -1/2) (.f64 (+.f64 (.f64 1/3 y) 1/2) (pow.f64 y 4)))))
28.0ms	(*.f64 1/3 y)
25.0ms	(*.f64 1/3 y)

Compiler

Compiled 2342 to 1891 computations (19.3% saved)

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4953	4245
1	4953	4245

prune340.0ms (4.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	122	7	129

Merged error: 0b

Counts

129 → 7

Compiler

Compiled 6718 to 4333 computations (35.5% saved)

regimes706.0ms (8.5%)

Compiler: Compiled 8844 to 7382 computations (16.5% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	234	36
1	234	36

end0.0ms (0%)

sample2.4s (28.4%)

Algorithm

1×

intervals

Results

484.0ms	6140×	body	128	valid
258.0ms	507×	body	1024	valid
210.0ms	740×	body	512	valid
103.0ms	608×	body	256	valid
23.0ms	259×	body	128	nan
3.0ms	5×	body	2048	valid
2.0ms	27×	body	128	invalid

Compiler

Compiled 1137 to 949 computations (16.5% saved)

Details

analyze344.0ms (4.1%)

sample48.0ms (0.6%)

simplify221.0ms (2.7%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite43.0ms (0.5%)

series1.1s (13.5%)

simplify75.0ms (0.9%)

prune201.0ms (2.4%)

localize19.0ms (0.2%)

rewrite42.0ms (0.5%)

series372.0ms (4.5%)

simplify76.0ms (0.9%)

prune196.0ms (2.4%)

localize17.0ms (0.2%)

rewrite54.0ms (0.6%)

series1.0s (12.6%)

simplify53.0ms (0.6%)

prune174.0ms (2.1%)

localize31.0ms (0.4%)

rewrite50.0ms (0.6%)

series613.0ms (7.4%)

simplify89.0ms (1.1%)

prune340.0ms (4.1%)

regimes706.0ms (8.5%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.4s (28.4%)

Profiling