Details

analyze565.0ms (4%)

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%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample87.0ms (0.6%)

Algorithm

1×

intervals

Results

24.0ms	26×	body	1024	valid
23.0ms	183×	body	128	valid
12.0ms	25×	body	512	valid
6.0ms	21×	body	256	valid
1.0ms	1×	body	2048	valid
1.0ms	5×	body	128	nan
0.0ms	3×	body	128	invalid

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify187.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	657	20
1	657	20

prune5.0ms (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

9.9b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize29.0ms (0.2%)

Local error

Found 8 expressions with local error:

5.4b	(log.f64 (-.f64 1 y))
0.2b	(*.f64 x (log.f64 y))
0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.0b	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
0.0b	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.2b	(*.f64 x (log.f64 y))
5.4b	(log.f64 (-.f64 1 y))

rewrite63.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`log-prod_binary64_10147`
36×	`add-sqr-sqrt_binary64_10083`
32×	`*-un-lft-identity_binary64_10061`
18×	`distribute-lft-in_binary64_10010` `distribute-rgt-in_binary64_10011`
17×	`add-cube-cbrt_binary64_10096`
12×	`associate-+r+_binary64_9993`
11×	`pow1_binary64_10122`
10×	`difference-of-squares_binary64_10030`
9×	`add-exp-log_binary64_10099`
8×	`add-cbrt-cube_binary64_10097` `associate-r_binary64_10001`
6×	`associate-+l+_binary64_9994` `add-log-exp_binary64_10100` `associate-l_binary64_10002`
5×	`distribute-lft-out--_binary64_10013`
3×	`log-pow_binary64_10150`
2×	`prod-exp_binary64_10110` `unswap-sqr_binary64_10029` `pow-prod-down_binary64_10132` `*-commutative_binary64_9992` `log-div_binary64_10148` `cbrt-unprod_binary64_10094`
1×	`flip3-+_binary64_10064` `sum-log_binary64_10152` `flip--_binary64_10036` `+-commutative_binary64_9991` `flip3--_binary64_10065` `flip-+_binary64_10035` `rem-log-exp_binary64_10102`

Counts

4 → 102

Calls

8 calls:

16.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
14.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
9.0ms	(*.f64 x (log.f64 y))
7.0ms	(log.f64 (-.f64 1 y))
0.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))

series1.1s (7.4%)

Counts

4 → 39

Calls

4 calls:

606.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
206.0ms	(*.f64 x (log.f64 y))
200.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
43.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 912 to 827 computations (9.3% saved)

simplify136.0ms (1%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5257	1972

prune361.0ms (2.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	135	6	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	6	142

Error

0.0b

Counts

142 → 6

Compiler

Compiled 2609 to 1358 computations (47.9% saved)

localize20.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
0.0b	(.f64 z (+.f64 (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y) (*.f64 (pow.f64 y 4) -1/4)))
0.0b	(+.f64 (.f64 x (log.f64 y)) (.f64 z (+.f64 (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y) (.f64 (pow.f64 y 4) -1/4))))
0.0b	(+.f64 (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y) (.f64 (pow.f64 y 4) -1/4))
0.0b	(.f64 z (+.f64 (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y) (*.f64 (pow.f64 y 4) -1/4)))
0.0b	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
0.2b	(*.f64 x (log.f64 y))
0.3b	(*.f64 y 1/3)

rewrite86.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_10083`
16×	`pow1_binary64_10122`
15×	`add-cbrt-cube_binary64_10097` `add-exp-log_binary64_10099`
13×	`associate-r_binary64_10001` `add-cube-cbrt_binary64_10096` `*-un-lft-identity_binary64_10061`
10×	`associate-l_binary64_10002`
6×	`distribute-lft-in_binary64_10010` `prod-exp_binary64_10110` `pow-prod-down_binary64_10132` `log-prod_binary64_10147` `distribute-rgt-in_binary64_10011` `cbrt-unprod_binary64_10094`
4×	`associate-r/_binary64_10003` `unswap-sqr_binary64_10029` `-commutative_binary64_9992` `add-log-exp_binary64_10100`
2×	`cancel-sign-sub-inv_binary64_10027` `sub-neg_binary64_10054`
1×	`flip3-+_binary64_10064` `log-pow_binary64_10150` `flip--_binary64_10036` `flip3--_binary64_10065` `flip-+_binary64_10035`

Counts

4 → 90

Calls

8 calls:

28.0ms	(.f64 z (+.f64 (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y) (*.f64 (pow.f64 y 4) -1/4)))
17.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
9.0ms	(*.f64 x (log.f64 y))
8.0ms	(*.f64 y 1/3)
0.0ms	(+.f64 (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y) (.f64 (pow.f64 y 4) -1/4))

series638.0ms (4.5%)

Counts

4 → 30

Calls

4 calls:

321.0ms	(.f64 z (+.f64 (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y) (*.f64 (pow.f64 y 4) -1/4)))
210.0ms	(*.f64 x (log.f64 y))
69.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
38.0ms	(*.f64 y 1/3)

Compiler

Compiled 1205 to 1010 computations (16.2% saved)

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5288	1884

prune315.0ms (2.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	119	7	126

Error

0.0b

Counts

126 → 7

Compiler

Compiled 3783 to 2177 computations (42.5% saved)

localize41.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
0.0b	(.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y))
0.0b	(+.f64 (.f64 x (log.f64 y)) (+.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y)) (.f64 (pow.f64 y 4) (*.f64 z -1/4))))
0.0b	(+.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y)) (.f64 (pow.f64 y 4) (.f64 z -1/4)))
0.0b	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
0.2b	(*.f64 x (log.f64 y))
0.3b	(*.f64 y 1/3)
4.5b	(.f64 (pow.f64 y 4) (.f64 z -1/4))

rewrite68.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64_10099`
18×	`add-cbrt-cube_binary64_10097` `add-sqr-sqrt_binary64_10083`
14×	`prod-exp_binary64_10110` `associate-l_binary64_10002` `pow1_binary64_10122`
13×	`add-cube-cbrt_binary64_10096` `*-un-lft-identity_binary64_10061`
11×	`associate-r_binary64_10001`
8×	`cbrt-unprod_binary64_10094`
6×	`log-prod_binary64_10147`
5×	`distribute-lft-in_binary64_10010` `pow-prod-down_binary64_10132` `distribute-rgt-in_binary64_10011`
4×	`*-commutative_binary64_9992` `add-log-exp_binary64_10100`
3×	`unswap-sqr_binary64_10029` `unpow-prod-down_binary64_10140`
2×	`associate-*r/_binary64_10003` `cancel-sign-sub-inv_binary64_10027` `pow-to-exp_binary64_10130` `pow-exp_binary64_10129` `sub-neg_binary64_10054`
1×	`log-pow_binary64_10150` `flip--_binary64_10036` `sqr-pow_binary64_10033` `flip3--_binary64_10065`

Counts

4 → 92

Calls

8 calls:

16.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
13.0ms	(.f64 (pow.f64 y 4) (.f64 z -1/4))
9.0ms	(*.f64 x (log.f64 y))
8.0ms	(*.f64 y 1/3)
0.0ms	(+.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y)) (.f64 (pow.f64 y 4) (.f64 z -1/4)))

series529.0ms (3.7%)

Counts

4 → 21

Calls

4 calls:

185.0ms	(*.f64 x (log.f64 y))
178.0ms	(.f64 (pow.f64 y 4) (.f64 z -1/4))
125.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
40.0ms	(*.f64 y 1/3)

Compiler

Compiled 1116 to 894 computations (19.9% saved)

simplify125.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4935	1190
1	4935	1190

prune512.0ms (3.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	113	7	120

Error

0.0b

Counts

120 → 7

Compiler

Compiled 3695 to 2105 computations (43% saved)

localize33.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(*.f64 x (log.f64 y))
0.0b	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
0.0b	(-.f64 (.f64 z (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3)))) (*.f64 y z))
0.0b	(+.f64 (.f64 x (log.f64 y)) (-.f64 (.f64 z (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3)))) (.f64 y z)))
0.0b	(-.f64 (.f64 z (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3)))) (*.f64 y z))
0.2b	(*.f64 x (log.f64 y))
0.3b	(*.f64 y 1/3)
8.0b	(.f64 z (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))))

rewrite78.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`distribute-lft-in_binary64_10010` `distribute-rgt-in_binary64_10011`
18×	`pow1_binary64_10122`
17×	`add-cbrt-cube_binary64_10097` `add-exp-log_binary64_10099`
15×	`add-sqr-sqrt_binary64_10083`
11×	`add-cube-cbrt_binary64_10096` `*-un-lft-identity_binary64_10061`
9×	`cancel-sign-sub-inv_binary64_10027` `associate-l_binary64_10002` `sub-neg_binary64_10054`
8×	`associate-r_binary64_10001` `prod-exp_binary64_10110` `pow-prod-down_binary64_10132` `cbrt-unprod_binary64_10094` `associate--l+_binary64_9998`
6×	`log-prod_binary64_10147` `add-log-exp_binary64_10100`
4×	`associate-*r/_binary64_10003`
3×	`*-commutative_binary64_9992`
2×	`flip--_binary64_10036` `unswap-sqr_binary64_10029` `flip3--_binary64_10065`
1×	`diff-log_binary64_10153` `log-pow_binary64_10150`

Counts

4 → 94

Calls

8 calls:

21.0ms	(-.f64 (.f64 z (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3)))) (*.f64 y z))
20.0ms	(.f64 z (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))))
8.0ms	(*.f64 x (log.f64 y))
7.0ms	(*.f64 y 1/3)
0.0ms	(+.f64 (.f64 x (log.f64 y)) (-.f64 (.f64 z (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3)))) (.f64 y z)))

series815.0ms (5.7%)

Counts

4 → 30

Calls

4 calls:

347.0ms	(-.f64 (.f64 z (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3)))) (*.f64 y z))
232.0ms	(.f64 z (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))))
207.0ms	(*.f64 x (log.f64 y))
28.0ms	(*.f64 y 1/3)

Compiler

Compiled 1189 to 976 computations (17.9% saved)

simplify134.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5046	1727

prune268.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	121	3	124
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	126	5	131

Error

0.0b

Counts

131 → 5

Compiler

Compiled 3117 to 1438 computations (53.9% saved)

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	479	1267
1	479	1267

regimes843.0ms (5.9%)

Accuracy

Total 0.2b remaining (87.8%)

Threshold costs 0.2b (87.8%)

Compiler

Compiled 4990 to 4096 computations (17.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	67	42
1	67	42

end0.0ms (0%)

sample7.1s (49.8%)

Algorithm

1×

intervals

Results

713.0ms	5811×	body	128	valid
552.0ms	677×	body	1024	valid
407.0ms	903×	body	512	valid
159.0ms	591×	body	256	valid
31.0ms	253×	body	128	nan
22.0ms	18×	body	2048	valid
8.0ms	35×	body	128	invalid

Compiler

Compiled 2472 to 2000 computations (19.1% saved)

Pareto

0.5185294386543113

Details

analyze565.0ms (4%)

sample87.0ms (0.6%)

simplify187.0ms (1.3%)

prune5.0ms (0%)

localize29.0ms (0.2%)

rewrite63.0ms (0.4%)

series1.1s (7.4%)

simplify136.0ms (1%)

prune361.0ms (2.5%)

localize20.0ms (0.1%)

rewrite86.0ms (0.6%)

series638.0ms (4.5%)

simplify81.0ms (0.6%)

prune315.0ms (2.2%)

localize41.0ms (0.3%)

rewrite68.0ms (0.5%)

series529.0ms (3.7%)

simplify125.0ms (0.9%)

prune512.0ms (3.6%)

localize33.0ms (0.2%)

rewrite78.0ms (0.5%)

series815.0ms (5.7%)

simplify134.0ms (0.9%)

prune268.0ms (1.9%)

simplify41.0ms (0.3%)

regimes843.0ms (5.9%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample7.1s (49.8%)

Profiling