Details

analyze637.0ms (10.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.3%	24.4%	11
31.4%	44.3%	24.4%	12
31.4%	44%	24.5%	13
31.5%	43.8%	24.8%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample52.0ms (0.9%)

Algorithm

1×

intervals

Results

24.0ms	85×	body	1024	valid
6.0ms	41×	body	512	valid
5.0ms	104×	body	128	valid
3.0ms	8×	body	2048	valid
2.0ms	18×	body	256	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify166.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4840	8
1	4840	8

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

rewrite41.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64`
2×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `sqrt-div_binary64` `flip-+_binary64` `distribute-lft-out_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 28

Calls

2 calls:

5.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 321 to 218 computations (32.1% saved)

series70.0ms (1.2%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

46.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
12.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 324 to 294 computations (9.3% saved)

simplify40.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5074	484

prune37.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	3	41

Error

Counts

41 → 3

Compiler

Compiled 472 to 353 computations (25.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
3.5b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite134.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64`
8×	`pow-pow_binary64`
7×	`pow1_binary64` `unpow-prod-down_binary64`
6×	`add-log-exp_binary64` `pow-unpow_binary64` `exp-prod_binary64`
5×	`add-cbrt-cube_binary64` `sqrt-prod_binary64`
4×	`add-exp-log_binary64` `difference-of-squares_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64` `cancel-sign-sub-inv_binary64` `cube-prod_binary64`
2×	`distribute-lft-out--_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `sqrt-div_binary64` `distribute-lft-out_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-rgt-out--_binary64` `unpow3_binary64` `cube-mult_binary64` `rem-cube-cbrt_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `flip3-+_binary64` `flip-+_binary64` `rem-sqrt-square_binary64`

Counts

4 → 84

Calls

4 calls:

9.0ms	(sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
7.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
3.0ms	(pow.f64 (exp.f64 x) 2)
3.0ms	(pow.f64 (exp.f64 x) 3)

Compiler

Compiled 2090 to 1371 computations (34.4% saved)

series179.0ms (3%)

Error

Counts

4 → 24

Calls

4 calls:

56.0ms	(sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
36.0ms	(pow.f64 (exp.f64 x) 3)
36.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
25.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 1092 to 862 computations (21.1% saved)

simplify82.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5019	1227

prune127.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	108	3	111

Error

Counts

111 → 3

Compiler

Compiled 2386 to 1587 computations (33.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
3.5b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite176.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

55×	`*-un-lft-identity_binary64`
31×	`add-sqr-sqrt_binary64`
26×	`sqrt-prod_binary64`
22×	`add-cube-cbrt_binary64`
21×	`times-frac_binary64`
13×	`distribute-lft-out_binary64`
8×	`pow-pow_binary64`
7×	`pow1_binary64` `unpow-prod-down_binary64`
6×	`add-log-exp_binary64` `pow-unpow_binary64` `exp-prod_binary64`
5×	`add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
4×	`add-exp-log_binary64` `difference-of-squares_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64` `cancel-sign-sub-inv_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `associate-/r/_binary64` `rem-sqrt-square_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-rgt-out--_binary64` `unpow3_binary64` `cube-mult_binary64` `rem-cube-cbrt_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `sqrt-div_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

4 → 105

Calls

4 calls:

17.0ms	(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
7.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
3.0ms	(pow.f64 (exp.f64 x) 3)
3.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 2753 to 1814 computations (34.1% saved)

series273.0ms (4.6%)

Error

Counts

4 → 24

Calls

4 calls:

149.0ms	(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
37.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
36.0ms	(pow.f64 (exp.f64 x) 3)
25.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 1112 to 886 computations (20.3% saved)

simplify77.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5031	2458

prune151.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	129	3	132

Error

Counts

132 → 3

Compiler

Compiled 2941 to 1948 computations (33.8% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 1/16 (pow.f64 (sqrt.f64 2) 5))
1.6b	(pow.f64 (sqrt.f64 2) 5)
12.6b	(+.f64 (+.f64 (+.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 2) 5)) (/.f64 1/12 (sqrt.f64 2))))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))) (.f64 (.f64 (/.f64 x (sqrt.f64 2)) x) 3/16))
15.1b	(+.f64 (+.f64 (+.f64 (+.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 2) 5)) (/.f64 1/12 (sqrt.f64 2))))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))) (.f64 (.f64 (/.f64 x (sqrt.f64 2)) x) 3/16)) (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) -1/16))

rewrite655.0ms (11%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `unpow-prod-down_binary64` `times-frac_binary64`
27×	`add-log-exp_binary64`
22×	`associate-*l/_binary64`
18×	`frac-add_binary64`
16×	`sum-log_binary64`
15×	`sqrt-prod_binary64`
10×	`add-exp-log_binary64` `associate-/r*_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`pow1_binary64` `add-cbrt-cube_binary64`
5×	`sqr-pow_binary64`
4×	`associate-*r/_binary64`
3×	`pow-unpow_binary64` `pow-pow_binary64` `div-exp_binary64` `associate-/l*_binary64`
2×	`associate-+l+_binary64` `+-commutative_binary64` `pow-to-exp_binary64` `pow-exp_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `sqrt-pow2_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 119

Calls

4 calls:

20.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 2) 5)) (/.f64 1/12 (sqrt.f64 2))))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))) (.f64 (.f64 (/.f64 x (sqrt.f64 2)) x) 3/16)) (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) -1/16))
16.0ms	(+.f64 (+.f64 (+.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 2) 5)) (/.f64 1/12 (sqrt.f64 2))))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))) (.f64 (.f64 (/.f64 x (sqrt.f64 2)) x) 3/16))
6.0ms	(/.f64 1/16 (pow.f64 (sqrt.f64 2) 5))
3.0ms	(pow.f64 (sqrt.f64 2) 5)

Compiler

Compiled 8172 to 7371 computations (9.8% saved)

series219.0ms (3.7%)

Error

Counts

4 → 16

Calls

4 calls:

98.0ms	(+.f64 (+.f64 (+.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 2) 5)) (/.f64 1/12 (sqrt.f64 2))))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))) (.f64 (.f64 (/.f64 x (sqrt.f64 2)) x) 3/16))
97.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 2) 5)) (/.f64 1/12 (sqrt.f64 2))))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))) (.f64 (.f64 (/.f64 x (sqrt.f64 2)) x) 3/16)) (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) -1/16))
0.0ms	(pow.f64 (sqrt.f64 2) 5)
0.0ms	(/.f64 1/16 (pow.f64 (sqrt.f64 2) 5))

Compiler

Compiled 946 to 873 computations (7.7% saved)

simplify86.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4973	6253
1	4973	6253

prune619.0ms (10.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	135	3	138

Error

Counts

138 → 3

Compiler

Compiled 7725 to 6965 computations (9.8% saved)

regimes140.0ms (2.4%)

Accuracy

Total 0.0b remaining (72.3%)

Threshold costs 0.0b (72.3%)

Compiler

Compiled 1223 to 1086 computations (11.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	31
1	35	31

end0.0ms (0%)

sample1.9s (32.3%)

Algorithm

1×

intervals

Results

724.0ms	2622×	body	1024	valid
195.0ms	1321×	body	512	valid
137.0ms	3107×	body	128	valid
90.0ms	275×	body	2048	valid
65.0ms	675×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 399 to 350 computations (12.3% saved)

Details

analyze637.0ms (10.7%)

sample52.0ms (0.9%)

simplify166.0ms (2.8%)

prune6.0ms (0.1%)

localize6.0ms (0.1%)

rewrite41.0ms (0.7%)

series70.0ms (1.2%)

simplify40.0ms (0.7%)

prune37.0ms (0.6%)

localize14.0ms (0.2%)

rewrite134.0ms (2.3%)

series179.0ms (3%)

simplify82.0ms (1.4%)

prune127.0ms (2.1%)

localize10.0ms (0.2%)

rewrite176.0ms (3%)

series273.0ms (4.6%)

simplify77.0ms (1.3%)

prune151.0ms (2.5%)

localize25.0ms (0.4%)

rewrite655.0ms (11%)

series219.0ms (3.7%)

simplify86.0ms (1.4%)

prune619.0ms (10.4%)

regimes140.0ms (2.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (32.3%)

Profiling