Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample59.0ms (1.4%)

Algorithm

1×

intervals

Results

38.0ms	136×	body	1024	valid
10.0ms	68×	body	512	valid
2.0ms	9×	body	2048	valid
2.0ms	26×	body	256	valid
1.0ms	17×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify224.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4828	13
1	4828	13

prune2.0ms (0.1%)

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: 57.8b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.6b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_787` `*-un-lft-identity_binary64_751` `add-sqr-sqrt_binary64_772`
1×	`distribute-lft-out--_binary64_705` `add-cube-cbrt_binary64_783` `sinh-undef_binary64_941` `pow1_binary64_809` `flip--_binary64_726` `add-cbrt-cube_binary64_784` `diff-log_binary64_840` `add-exp-log_binary64_786` `sub-neg_binary64_744` `flip3--_binary64_755` `difference-of-squares_binary64_720`

Counts

1 → 14

Calls

1 calls:

6.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series39.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

39.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify77.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4875	255
1	4875	255

prune15.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	2	18

Merged error: 0.0b

Counts

18 → 2

Compiler

Compiled 244 to 119 computations (51.2% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(sinh.f64 x)

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`add-cube-cbrt_binary64_783` `pow1_binary64_809` `add-log-exp_binary64_787` `sinh-def_binary64_933` `add-cbrt-cube_binary64_784` `*-un-lft-identity_binary64_751` `add-exp-log_binary64_786` `add-sqr-sqrt_binary64_772`

Counts

1 → 8

Calls

1 calls:

1.0ms

(sinh.f64 x)

series80.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

80.0ms

(sinh.f64 x)

simplify53.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5412	98

prune10.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	10	1	11
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	10	3	13

Merged error: 0b

Counts

13 → 3

Compiler

Compiled 152 to 105 computations (30.9% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
0.0b	(*.f64 1/60 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_772`
19×	`associate-r_binary64_693`
13×	`add-exp-log_binary64_786`
10×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
8×	`unpow-prod-down_binary64_827`
7×	`unswap-sqr_binary64_719` `add-cbrt-cube_binary64_784`
6×	`prod-exp_binary64_797` `associate-l_binary64_694`
5×	`add-log-exp_binary64_787`
4×	`sqr-pow_binary64_723` `cube-prod_binary64_776`
3×	`pow1_binary64_809`
2×	`pow-to-exp_binary64_817` `pow-exp_binary64_816` `*-commutative_binary64_684` `cbrt-unprod_binary64_781`
1×	`cube-mult_binary64_778` `+-commutative_binary64_683` `flip3-+_binary64_754` `sum-log_binary64_839` `unpow3_binary64_814` `flip-+_binary64_725`

Counts

3 → 67

Calls

3 calls:

7.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
6.0ms	(*.f64 1/60 (pow.f64 x 5))

series293.0ms (6.8%)

Counts

3 → 9

Calls

3 calls:

182.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
64.0ms	(*.f64 1/60 (pow.f64 x 5))
47.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4888	877
1	4888	877

prune88.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Merged error: 0b

Counts

79 → 3

Compiler

Compiled 1651 to 1191 computations (27.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x)))
0.6b	(cbrt.f64 (sinh.f64 x))
0.6b	(cbrt.f64 (sinh.f64 x))
0.6b	(cbrt.f64 (sinh.f64 x))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_779`
23×	`add-sqr-sqrt_binary64_772`
15×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
11×	`pow1_binary64_809`
9×	`pow1/3_binary64_830`
7×	`sinh-def_binary64_933` `cbrt-div_binary64_780`
6×	`swap-sqr_binary64_718` `associate-l_binary64_694` `add-exp-log_binary64_786` `associate-r_binary64_693`
4×	`unswap-sqr_binary64_719` `add-log-exp_binary64_787` `add-cbrt-cube_binary64_784`
2×	`pow-sqr_binary64_724` `pow-prod-up_binary64_818` `pow-prod-down_binary64_819`
1×	`prod-exp_binary64_797` `frac-times_binary64_761` `pow-plus_binary64_811` `-commutative_binary64_684` `associate-r/_binary64_695` `cbrt-unprod_binary64_781` `pow2_binary64_829` `associate-*l/_binary64_696`

Counts

4 → 79

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x)))
2.0ms	(cbrt.f64 (sinh.f64 x))
2.0ms	(cbrt.f64 (sinh.f64 x))
2.0ms	(cbrt.f64 (sinh.f64 x))

series1.2s (28.9%)

Counts

4 → 12

Calls

4 calls:

416.0ms	(*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x)))
284.0ms	(cbrt.f64 (sinh.f64 x))
271.0ms	(cbrt.f64 (sinh.f64 x))
271.0ms	(cbrt.f64 (sinh.f64 x))

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4814	1069
1	4814	1069

prune79.0ms (1.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	91	3	94

Merged error: 0b

Counts

94 → 3

Compiler

Compiled 1754 to 758 computations (56.8% saved)

regimes10.0ms (0.2%)

Compiler: Compiled 40 to 31 computations (22.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample1.8s (42.7%)

Algorithm

1×

intervals

Results

1.1s	3924×	body	1024	valid
292.0ms	2054×	body	512	valid
118.0ms	407×	body	2048	valid
90.0ms	986×	body	256	valid
31.0ms	629×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 53 to 44 computations (17% saved)

Details

analyze4.0ms (0.1%)

sample59.0ms (1.4%)

simplify224.0ms (5.2%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite7.0ms (0.2%)

series39.0ms (0.9%)

simplify77.0ms (1.8%)

prune15.0ms (0.4%)

localize4.0ms (0.1%)

rewrite2.0ms (0%)

series80.0ms (1.9%)

simplify53.0ms (1.2%)

prune10.0ms (0.2%)

localize10.0ms (0.2%)

rewrite24.0ms (0.6%)

series293.0ms (6.8%)

simplify47.0ms (1.1%)

prune88.0ms (2%)

localize8.0ms (0.2%)

rewrite18.0ms (0.4%)

series1.2s (28.9%)

simplify59.0ms (1.4%)

prune79.0ms (1.8%)

regimes10.0ms (0.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (42.7%)

Profiling