Details

analyze157.0ms (4.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5268	13
0	1	1
1	1	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)

sample56.0ms (1.5%)

Algorithm

1×

intervals

Results

35.0ms	142×	body	1024	valid
6.0ms	48×	body	512	valid
3.0ms	12×	body	2048	valid
2.0ms	27×	body	256	valid
1.0ms	27×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5268	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

Error

57.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

6.1b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

4×	`add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
3×	`add-log-exp_binary64_3186` `cancel-sign-sub-inv_binary64_3113`
2×	`add-cube-cbrt_binary64_3182`
1×	`sinh-undef_binary64_3340` `diff-log_binary64_3239` `pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `flip3--_binary64_3151` `sub-neg_binary64_3140` `flip--_binary64_3122` `difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099`

Counts

1 → 17

Calls

1 calls:

5.0ms

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

Compiler

Compiled 261 to 97 computations (62.8% saved)

series39.0ms (1.1%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

31.0ms

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

Compiler

Compiled 163 to 139 computations (14.7% saved)

simplify80.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4836	321
1	4836	321

prune22.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Error

Counts

24 → 3

Compiler

Compiled 323 to 165 computations (48.9% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite170.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-sqr-sqrt_binary64_3169`
19×	`associate-r_binary64_3087`
18×	`add-log-exp_binary64_3186`
16×	`*-un-lft-identity_binary64_3147`
14×	`add-exp-log_binary64_3185`
11×	`add-cube-cbrt_binary64_3182`
9×	`sum-log_binary64_3238`
8×	`add-cbrt-cube_binary64_3183` `unpow-prod-down_binary64_3226`
7×	`unswap-sqr_binary64_3115`
6×	`prod-exp_binary64_3196` `associate-l_binary64_3088` `flip3-+_binary64_3150` `flip-+_binary64_3121`
4×	`pow1_binary64_3208` `cube-prod_binary64_3175` `sqr-pow_binary64_3119` `frac-add_binary64_3155`
3×	`distribute-lft-out_binary64_3098`
2×	`pow-to-exp_binary64_3216` `pow-exp_binary64_3215` `cbrt-unprod_binary64_3180` `*-commutative_binary64_3078` `+-commutative_binary64_3077`
1×	`unpow3_binary64_3213` `cube-mult_binary64_3177` `associate-+l+_binary64_3080` `associate-+r+_binary64_3079`

Counts

4 → 89

Calls

4 calls:

13.0ms	(+.f64 (+.f64 x x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5))))
9.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(*.f64 1/60 (pow.f64 x 5))
5.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))

Compiler

Compiled 2503 to 1825 computations (27.1% saved)

series360.0ms (9.8%)

Error

Counts

4 → 21

Calls

4 calls:

160.0ms	(+.f64 (+.f64 x x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5))))
105.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
43.0ms	(*.f64 1/60 (pow.f64 x 5))
36.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 790 to 642 computations (18.7% saved)

simplify86.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4867	1727
1	4867	1727

prune131.0ms (3.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Error

Counts

113 → 3

Compiler

Compiled 2387 to 1736 computations (27.3% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 (neg.f64 x)))))
6.1b	(-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 (neg.f64 x))))

rewrite134.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`add-sqr-sqrt_binary64_3169`
29×	`sqrt-prod_binary64_3163`
28×	`*-un-lft-identity_binary64_3147`
18×	`cancel-sign-sub-inv_binary64_3113`
16×	`add-cube-cbrt_binary64_3182`
9×	`associate-r_binary64_3087`
8×	`pow1_binary64_3208` `difference-of-squares_binary64_3116` `sqrt-pow1_binary64_3165`
7×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096`
6×	`add-log-exp_binary64_3186` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `exp-prod_binary64_3199`
5×	`associate-l_binary64_3088`
4×	`flip3--_binary64_3151` `flip--_binary64_3122` `distribute-lft-out--_binary64_3099` `frac-times_binary64_3157`
3×	`sub-neg_binary64_3140` `flip3-+_binary64_3150` `flip-+_binary64_3121`
2×	`associate-l/_binary64_3090` `associate-r/_binary64_3089` `distribute-lft-out_binary64_3098` `pow1/2_binary64_3227` `rem-sqrt-square_binary64_3160`
1×	`diff-log_binary64_3239` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `*-commutative_binary64_3078`

Counts

4 → 103

Calls

4 calls:

19.0ms	(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 (neg.f64 x)))))
8.0ms	(-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 (neg.f64 x))))
2.0ms	(sqrt.f64 (exp.f64 x))
2.0ms	(sqrt.f64 (exp.f64 x))

Compiler

Compiled 3144 to 580 computations (81.6% saved)

series221.0ms (6%)

Error

Counts

4 → 24

Calls

4 calls:

97.0ms	(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 (neg.f64 x)))))
53.0ms	(-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 (neg.f64 x))))
26.0ms	(sqrt.f64 (exp.f64 x))
24.0ms	(sqrt.f64 (exp.f64 x))

Compiler

Compiled 1137 to 677 computations (40.5% saved)

simplify75.0ms (2%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4978	2525
1	4978	2525

prune103.0ms (2.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	127	3	130

Error

Counts

130 → 3

Compiler

Compiled 3047 to 729 computations (76.1% saved)

regimes61.0ms (1.7%)

Accuracy

Total 0.0b remaining (75.4%)

Threshold costs 0.0b (75.4%)

Compiler

Compiled 540 to 401 computations (25.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample1.9s (51%)

Algorithm

1×

intervals

Results

978.0ms	3994×	body	1024	valid
260.0ms	2019×	body	512	valid
106.0ms	406×	body	2048	valid
67.0ms	915×	body	256	valid
25.0ms	666×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 185 to 140 computations (24.3% saved)

Details

analyze157.0ms (4.2%)

sample56.0ms (1.5%)

simplify62.0ms (1.7%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite20.0ms (0.6%)

series39.0ms (1.1%)

simplify80.0ms (2.2%)

prune22.0ms (0.6%)

localize10.0ms (0.3%)

rewrite170.0ms (4.6%)

series360.0ms (9.8%)

simplify86.0ms (2.3%)

prune131.0ms (3.6%)

localize10.0ms (0.3%)

rewrite134.0ms (3.6%)

series221.0ms (6%)

simplify75.0ms (2%)

prune103.0ms (2.8%)

regimes61.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.9s (51%)

Profiling