Details

analyze343.0ms (5.1%)

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)

sample49.0ms (0.7%)

Algorithm

1×

intervals

Results

15.0ms	191×	body	128	valid
12.0ms	21×	body	1024	valid
8.0ms	25×	body	512	valid
3.0ms	19×	body	256	valid
1.0ms	7×	body	128	nan

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify511.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (342.0ms)

Iter	Nodes	Cost
0	6585	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: 5.6b

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

rewrite50.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_789`
42×	`log-prod_binary64_853`
38×	`*-un-lft-identity_binary64_767`
18×	`distribute-rgt-in_binary64_717` `distribute-lft-in_binary64_716`
17×	`add-cube-cbrt_binary64_802`
14×	`associate-l_binary64_708` `difference-of-squares_binary64_736`
12×	`associate-+r+_binary64_699` `associate-*l/_binary64_710`
11×	`pow1_binary64_828`
9×	`add-exp-log_binary64_805`
8×	`associate-r_binary64_707` `add-cbrt-cube_binary64_803`
7×	`distribute-lft-out--_binary64_719` `flip--_binary64_742` `flip3--_binary64_771`
6×	`associate-+l+_binary64_700` `add-log-exp_binary64_806`
4×	`frac-add_binary64_775`
3×	`log-pow_binary64_856`
2×	`unswap-sqr_binary64_735` `log-div_binary64_854` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `*-commutative_binary64_698` `pow-prod-down_binary64_838` `difference-of-sqr-1_binary64_737`
1×	`flip-+_binary64_741` `+-commutative_binary64_697` `sum-log_binary64_858` `rem-log-exp_binary64_808` `flip3-+_binary64_770`

Counts

4 → 118

Calls

4 calls:

14.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
12.0ms	(*.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))

series297.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

148.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
72.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
53.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
24.0ms	(log.f64 (-.f64 1 y))

simplify88.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4965	2554
1	4965	2554

prune433.0ms (6.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	122	8	130
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	8	131

Merged error: 0.1b

Counts

131 → 8

Compiler

Compiled 8019 to 6289 computations (21.6% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2)))))
0.1b	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
0.4b	(*.f64 y 1/3)

rewrite51.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_789` `associate-*l/_binary64_710`
21×	`flip--_binary64_742` `flip3--_binary64_771`
16×	`frac-add_binary64_775` `*-un-lft-identity_binary64_767`
14×	`pow1_binary64_828`
13×	`add-exp-log_binary64_805` `add-cbrt-cube_binary64_803` `add-cube-cbrt_binary64_802`
12×	`log-prod_binary64_853`
11×	`associate-l_binary64_708`
10×	`associate-r_binary64_707`
9×	`distribute-rgt-in_binary64_717` `distribute-lft-in_binary64_716`
8×	`frac-times_binary64_777`
6×	`associate-+l+_binary64_700` `add-log-exp_binary64_806` `associate-*r/_binary64_709`
5×	`cbrt-unprod_binary64_800` `prod-exp_binary64_816` `pow-prod-down_binary64_838`
4×	`associate-+r+_binary64_699`
3×	`unswap-sqr_binary64_735` `*-commutative_binary64_698`
2×	`sub-neg_binary64_760` `flip-+_binary64_741` `cancel-sign-sub-inv_binary64_733` `flip3-+_binary64_770` `difference-of-squares_binary64_736`
1×	`log-pow_binary64_856` `distribute-lft-out--_binary64_719` `+-commutative_binary64_697` `sum-log_binary64_858` `difference-of-sqr-1_binary64_737`

Counts

4 → 109

Calls

4 calls:

13.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2)))))
10.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 y 1/3)

series353.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

181.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2)))))
87.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
63.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
21.0ms	(*.f64 y 1/3)

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4993	3744
1	4993	3744

prune271.0ms (4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	121	8	129

Merged error: 0.1b

Counts

129 → 8

Compiler

Compiled 5853 to 3796 computations (35.1% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
0.5b	(cbrt.f64 (log.f64 y))
0.5b	(cbrt.f64 (log.f64 y))
0.5b	(cbrt.f64 (log.f64 y))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_798`
23×	`add-sqr-sqrt_binary64_789`
20×	`pow1_binary64_828`
17×	`*-un-lft-identity_binary64_767`
15×	`add-cube-cbrt_binary64_802`
9×	`pow1/3_binary64_849` `swap-sqr_binary64_734` `log-pow_binary64_856`
7×	`associate-l_binary64_708` `associate-r_binary64_707`
6×	`add-exp-log_binary64_805`
4×	`unswap-sqr_binary64_735` `add-log-exp_binary64_806` `add-cbrt-cube_binary64_803`
2×	`pow-prod-up_binary64_837` `pow-prod-down_binary64_838` `pow-sqr_binary64_740`
1×	`pow2_binary64_848` `cbrt-unprod_binary64_800` `pow-plus_binary64_830` `prod-exp_binary64_816` `*-commutative_binary64_698`

Counts

4 → 81

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
1.0ms	(cbrt.f64 (log.f64 y))
1.0ms	(cbrt.f64 (log.f64 y))
1.0ms	(cbrt.f64 (log.f64 y))

series1.1s (16.8%)

Counts

4 → 12

Calls

4 calls:

300.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
285.0ms	(cbrt.f64 (log.f64 y))
278.0ms	(cbrt.f64 (log.f64 y))
276.0ms	(cbrt.f64 (log.f64 y))

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4931	830
1	4931	830

prune175.0ms (2.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	91	10	101

Merged error: 0.0b

Counts

101 → 10

Compiler

Compiled 4300 to 2375 computations (44.8% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 y 1/3)
0.5b	(cbrt.f64 (pow.f64 (log.f64 y) 2))
0.5b	(pow.f64 (log.f64 y) 2)
0.5b	(cbrt.f64 (log.f64 y))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_789` `cbrt-prod_binary64_798`
11×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
10×	`pow1_binary64_828`
8×	`unpow-prod-down_binary64_846`
7×	`add-exp-log_binary64_805`
6×	`add-cbrt-cube_binary64_803`
4×	`add-log-exp_binary64_806`
3×	`associate-l_binary64_708` `associate-r_binary64_707` `pow-unpow_binary64_844` `log-pow_binary64_856`
2×	`pow1/3_binary64_849` `sqr-pow_binary64_739` `unpow2_binary64_832`
1×	`pow-to-exp_binary64_836` `unswap-sqr_binary64_735` `cbrt-unprod_binary64_800` `pow-exp_binary64_835` `prod-exp_binary64_816` `*-commutative_binary64_698` `pow-prod-down_binary64_838` `pow-pow_binary64_839`

Counts

4 → 66

Calls

4 calls:

4.0ms	(*.f64 y 1/3)
3.0ms	(pow.f64 (log.f64 y) 2)
2.0ms	(cbrt.f64 (pow.f64 (log.f64 y) 2))
1.0ms	(cbrt.f64 (log.f64 y))

series712.0ms (10.5%)

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt.f64 (pow.f64 (log.f64 y) 2))
287.0ms	(cbrt.f64 (log.f64 y))
111.0ms	(pow.f64 (log.f64 y) 2)
20.0ms	(*.f64 y 1/3)

simplify92.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5008	565

prune113.0ms (1.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	78	10	88

Merged error: 0.0b

Counts

88 → 10

Compiler

Compiled 2698 to 1532 computations (43.2% saved)

regimes161.0ms (2.4%)

Compiler: Compiled 2000 to 1640 computations (18% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	219	36
1	219	36

end0.0ms (0%)

sample1.7s (24.6%)

Algorithm

1×

intervals

Results

499.0ms	6134×	body	128	valid
271.0ms	507×	body	1024	valid
218.0ms	768×	body	512	valid
101.0ms	589×	body	256	valid
22.0ms	272×	body	128	nan
2.0ms	24×	body	128	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 372 to 305 computations (18% saved)

Details

analyze343.0ms (5.1%)

sample49.0ms (0.7%)

simplify511.0ms (7.5%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite50.0ms (0.7%)

series297.0ms (4.4%)

simplify88.0ms (1.3%)

prune433.0ms (6.4%)

localize21.0ms (0.3%)

rewrite51.0ms (0.8%)

series353.0ms (5.2%)

simplify71.0ms (1%)

prune271.0ms (4%)

localize23.0ms (0.3%)

rewrite22.0ms (0.3%)

series1.1s (16.8%)

simplify61.0ms (0.9%)

prune175.0ms (2.6%)

localize27.0ms (0.4%)

rewrite18.0ms (0.3%)

series712.0ms (10.5%)

simplify92.0ms (1.4%)

prune113.0ms (1.7%)

regimes161.0ms (2.4%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.7s (24.6%)

Profiling