Details

analyze319.0ms (5.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample58.0ms (1.1%)

Algorithm

1×

intervals

Results

35.0ms	152×	body	8192	exit
8.0ms	209×	body	128	valid
3.0ms	21×	body	512	valid
2.0ms	25×	body	256	valid
0.0ms	1×	body	1024	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify241.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4886	18
1	4886	18

prune4.0ms (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: 13.3b

Counts

2 → 2

Compiler

Compiled 40 to 26 computations (35% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 wj (exp.f64 wj))
0.0b	(*.f64 wj (exp.f64 wj))
0.0b	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
4.6b	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

rewrite36.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_3468`
11×	`*-un-lft-identity_binary64_3447`
8×	`add-log-exp_binary64_3483` `add-cube-cbrt_binary64_3479` `add-cbrt-cube_binary64_3480` `pow1_binary64_3505`
6×	`associate-l_binary64_3390` `add-exp-log_binary64_3482` `associate-r_binary64_3389`
2×	`cbrt-unprod_binary64_3477` `difference-of-squares_binary64_3416` `*-commutative_binary64_3380` `unswap-sqr_binary64_3415` `pow-prod-down_binary64_3515` `prod-exp_binary64_3493`
1×	`distribute-lft-out--_binary64_3401` `distribute-rgt1-in_binary64_3405` `flip-+_binary64_3421` `sum-log_binary64_3535` `flip--_binary64_3422` `flip3-+_binary64_3450` `times-frac_binary64_3453` `+-commutative_binary64_3379` `div-sub_binary64_3452` `distribute-rgt-out_binary64_3402` `associate--r-_binary64_3388` `flip3--_binary64_3451` `diff-log_binary64_3536` `sub-neg_binary64_3440`

Counts

4 → 64

Calls

4 calls:

15.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))
6.0ms	(*.f64 wj (exp.f64 wj))
5.0ms	(*.f64 wj (exp.f64 wj))
4.0ms	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))

series230.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

118.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))
43.0ms	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
36.0ms	(*.f64 wj (exp.f64 wj))
32.0ms	(*.f64 wj (exp.f64 wj))

simplify63.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	6351	1109

prune80.0ms (1.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	75	3	78

Merged error: 0.2b

Counts

78 → 3

Compiler

Compiled 1618 to 536 computations (66.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 wj (+.f64 wj (.f64 x -2)))

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_3468`
3×	`-un-lft-identity_binary64_3447` `add-cube-cbrt_binary64_3479` `add-cbrt-cube_binary64_3480` `associate-l_binary64_3390` `add-exp-log_binary64_3482` `associate-r*_binary64_3389` `pow1_binary64_3505`
2×	`associate-*r/_binary64_3391`
1×	`cbrt-unprod_binary64_3477` `distribute-lft-in_binary64_3398` `flip-+_binary64_3421` `add-log-exp_binary64_3483` `flip3-+_binary64_3450` `*-commutative_binary64_3380` `unswap-sqr_binary64_3415` `distribute-rgt-in_binary64_3399` `pow-prod-down_binary64_3515` `prod-exp_binary64_3493`

Counts

1 → 22

Calls

1 calls:

6.0ms

(*.f64 wj (+.f64 wj (*.f64 x -2)))

series63.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

63.0ms

(*.f64 wj (+.f64 wj (*.f64 x -2)))

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5340	316

prune27.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	22	6	28

Merged error: 0.2b

Counts

28 → 6

Compiler

Compiled 450 to 284 computations (36.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 wj) (cbrt.f64 wj))
0.6b	(cbrt.f64 wj)
0.6b	(cbrt.f64 wj)
0.6b	(cbrt.f64 wj)

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3475`
23×	`add-sqr-sqrt_binary64_3468`
15×	`*-un-lft-identity_binary64_3447` `add-cube-cbrt_binary64_3479`
11×	`pow1_binary64_3505`
9×	`pow1/3_binary64_3526`
6×	`swap-sqr_binary64_3414` `associate-l_binary64_3390` `add-exp-log_binary64_3482` `associate-r_binary64_3389`
4×	`add-log-exp_binary64_3483` `add-cbrt-cube_binary64_3480` `unswap-sqr_binary64_3415`
2×	`pow-sqr_binary64_3420` `pow-prod-down_binary64_3515` `pow-prod-up_binary64_3514`
1×	`cbrt-unprod_binary64_3477` `pow-plus_binary64_3507` `pow2_binary64_3525` `*-commutative_binary64_3380` `prod-exp_binary64_3493`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 wj) (cbrt.f64 wj))
1.0ms	(cbrt.f64 wj)
1.0ms	(cbrt.f64 wj)
1.0ms	(cbrt.f64 wj)

series651.0ms (12%)

Counts

4 → 12

Calls

4 calls:

185.0ms	(*.f64 (cbrt.f64 wj) (cbrt.f64 wj))
170.0ms	(cbrt.f64 wj)
149.0ms	(cbrt.f64 wj)
148.0ms	(cbrt.f64 wj)

simplify68.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune84.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	84	7	91

Merged error: 0.2b

Counts

91 → 7

Compiler

Compiled 1706 to 822 computations (51.8% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 wj))
0.6b	(cbrt.f64 (cbrt.f64 wj))
0.6b	(cbrt.f64 (cbrt.f64 wj))
1.0b	(pow.f64 (cbrt.f64 (cbrt.f64 wj)) 4)

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_3475`
14×	`*-un-lft-identity_binary64_3447` `add-cube-cbrt_binary64_3479` `add-sqr-sqrt_binary64_3468`
9×	`unpow-prod-down_binary64_3523`
5×	`add-exp-log_binary64_3482` `pow1_binary64_3505`
4×	`add-log-exp_binary64_3483` `add-cbrt-cube_binary64_3480` `pow1/3_binary64_3526`
3×	`pow-unpow_binary64_3521`
2×	`pow-pow_binary64_3516`
1×	`pow-exp_binary64_3512` `pow-to-exp_binary64_3513` `sqr-pow_binary64_3419`

Counts

4 → 66

Calls

4 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 wj)) 4)
2.0ms	(cbrt.f64 (cbrt.f64 wj))
2.0ms	(cbrt.f64 (cbrt.f64 wj))
2.0ms	(cbrt.f64 (cbrt.f64 wj))

series913.0ms (16.8%)

Counts

4 → 12

Calls

4 calls:

284.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 wj)) 4)
226.0ms	(cbrt.f64 (cbrt.f64 wj))
206.0ms	(cbrt.f64 (cbrt.f64 wj))
196.0ms	(cbrt.f64 (cbrt.f64 wj))

simplify63.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4848	782
1	4848	782

prune92.0ms (1.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	78	7	85

Merged error: 0.2b

Counts

85 → 7

Compiler

Compiled 2179 to 932 computations (57.2% saved)

regimes179.0ms (3.3%)

Compiler: Compiled 2109 to 1347 computations (36.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms (0%)

sample2.1s (39.1%)

Algorithm

1×

intervals

Results

914.0ms	3969×	body	8192	exit
256.0ms	6550×	body	128	valid
84.0ms	682×	body	512	valid
59.0ms	746×	body	256	valid
4.0ms	22×	body	1024	valid
3.0ms	59×	body	128	invalid
0.0ms	10×	body	128	overflowed

Compiler

Compiled 734 to 470 computations (36% saved)

Details

analyze319.0ms (5.9%)

sample58.0ms (1.1%)

simplify241.0ms (4.4%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite36.0ms (0.7%)

series230.0ms (4.2%)

simplify63.0ms (1.2%)

prune80.0ms (1.5%)

localize6.0ms (0.1%)

rewrite7.0ms (0.1%)

series63.0ms (1.2%)

simplify57.0ms (1%)

prune27.0ms (0.5%)

localize10.0ms (0.2%)

rewrite16.0ms (0.3%)

series651.0ms (12%)

simplify68.0ms (1.2%)

prune84.0ms (1.5%)

localize17.0ms (0.3%)

rewrite16.0ms (0.3%)

series913.0ms (16.8%)

simplify63.0ms (1.2%)

prune92.0ms (1.7%)

regimes179.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.1s (39.1%)

Profiling