Details

analyze64.0ms (1.7%)

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
25%	74.9%	0.1%	5
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	236×	body	128	valid
3.0ms	6×	body	1024	valid
2.0ms	8×	body	512	valid
1.0ms	6×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify177.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	96	14
1	96	14

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: 0.8b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.8b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_2831`
8×	`log-prod_binary64_2917`
6×	`add-log-exp_binary64_2870`
5×	`add-cube-cbrt_binary64_2866` `add-sqr-sqrt_binary64_2853`
4×	`pow1_binary64_2892` `log-div_binary64_2918` `add-exp-log_binary64_2869` `associate--l+_binary64_2768`
3×	`flip3-+_binary64_2834` `add-cbrt-cube_binary64_2867` `distribute-lft-out_binary64_2782` `flip-+_binary64_2805`
2×	`associate--l-_binary64_2769`
1×	`log-pow_binary64_2920` `flip3--_binary64_2835` `diff-log_binary64_2923` `sub-neg_binary64_2824` `+-commutative_binary64_2761` `cancel-sign-sub-inv_binary64_2797` `rem-log-exp_binary64_2872` `flip--_binary64_2806` `sum-log_binary64_2922`

Counts

3 → 45

Calls

3 calls:

7.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

series168.0ms (4.4%)

Counts

3 → 9

Calls

3 calls:

81.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
76.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
11.0ms	(+.f64 1 (exp.f64 x))

simplify66.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5066	767

prune98.0ms (2.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	4	55

Merged error: 0.2b

Counts

55 → 4

Compiler

Compiled 1481 to 1009 computations (31.9% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)) (*.f64 x y))
0.7b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3))
0.7b	(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
0.8b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64_2862`
13×	`*-un-lft-identity_binary64_2831`
11×	`add-cube-cbrt_binary64_2866` `add-sqr-sqrt_binary64_2853`
10×	`pow1_binary64_2892`
8×	`unpow-prod-down_binary64_2910` `cube-prod_binary64_2859`
6×	`add-log-exp_binary64_2870` `add-exp-log_binary64_2869`
5×	`log-pow_binary64_2920` `add-cbrt-cube_binary64_2867`
4×	`log-prod_binary64_2917`
3×	`pow-unpow_binary64_2908`
2×	`sqr-pow_binary64_2803` `cube-mult_binary64_2861` `log-div_binary64_2918` `unpow3_binary64_2897`
1×	`pow-exp_binary64_2899` `pow-pow_binary64_2903` `flip3-+_binary64_2834` `pow1/3_binary64_2913` `distribute-lft-out_binary64_2782` `flip3--_binary64_2835` `rem-cbrt-cube_binary64_2855` `diff-log_binary64_2923` `sub-neg_binary64_2824` `rem-cube-cbrt_binary64_2854` `pow-to-exp_binary64_2900` `cancel-sign-sub-inv_binary64_2797` `rem-log-exp_binary64_2872` `flip--_binary64_2806` `flip-+_binary64_2805`

Counts

4 → 75

Calls

4 calls:

8.0ms	(-.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)) (*.f64 x y))
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
3.0ms	(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
3.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3))

series385.0ms (10%)

Counts

4 → 12

Calls

4 calls:

137.0ms	(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
88.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
80.0ms	(-.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)) (*.f64 x y))
80.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3))

simplify77.0ms (2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4971	1252
1	4971	1252

prune103.0ms (2.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	86	5	91

Merged error: 0.2b

Counts

91 → 5

Compiler

Compiled 1712 to 1138 computations (33.5% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 3 (log.f64 (log.f64 (+.f64 1 (exp.f64 x)))))
0.0b	(exp.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 1 (exp.f64 x))))))
0.7b	(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 1 (exp.f64 x)))))))
0.8b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64_2917`
16×	`exp-sum_binary64_2877` `add-sqr-sqrt_binary64_2853` `*-un-lft-identity_binary64_2831`
14×	`pow1_binary64_2892` `add-cube-cbrt_binary64_2866`
12×	`distribute-lft-in_binary64_2780` `distribute-rgt-in_binary64_2781`
11×	`cbrt-prod_binary64_2862`
8×	`log-pow_binary64_2920`
7×	`add-exp-log_binary64_2869`
6×	`add-log-exp_binary64_2870` `add-cbrt-cube_binary64_2867`
4×	`associate-r_binary64_2771`
3×	`associate-l_binary64_2772`
2×	`log-div_binary64_2918`
1×	`pow-prod-down_binary64_2902` `flip3-+_binary64_2834` `cbrt-unprod_binary64_2864` `pow1/3_binary64_2913` `*-commutative_binary64_2762` `distribute-lft-out_binary64_2782` `unswap-sqr_binary64_2799` `prod-exp_binary64_2880` `rem-exp-log_binary64_2871` `exp-to-pow_binary64_2893` `exp-prod_binary64_2883` `rem-log-exp_binary64_2872` `flip-+_binary64_2805`

Counts

4 → 79

Calls

4 calls:

6.0ms	(*.f64 3 (log.f64 (log.f64 (+.f64 1 (exp.f64 x)))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
3.0ms	(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 1 (exp.f64 x)))))))
3.0ms	(exp.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 1 (exp.f64 x))))))

series470.0ms (12.2%)

Counts

4 → 12

Calls

4 calls:

180.0ms	(*.f64 3 (log.f64 (log.f64 (+.f64 1 (exp.f64 x)))))
124.0ms	(exp.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 1 (exp.f64 x))))))
87.0ms	(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 1 (exp.f64 x)))))))
79.0ms	(log.f64 (+.f64 1 (exp.f64 x)))

simplify69.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4968	1331
1	4968	1331

prune115.0ms (3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	91	5	96

Merged error: 0.2b

Counts

96 → 5

Compiler

Compiled 1891 to 1331 computations (29.6% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.7b	(*.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (log.f64 (log.f64 (+.f64 1 (exp.f64 x))))))
0.8b	(log.f64 (+.f64 1 (exp.f64 x)))
0.8b	(log.f64 (+.f64 1 (exp.f64 x)))
0.8b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite33.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_2862`
23×	`add-sqr-sqrt_binary64_2853` `*-un-lft-identity_binary64_2831`
20×	`pow1_binary64_2892`
15×	`add-cube-cbrt_binary64_2866`
12×	`log-prod_binary64_2917`
9×	`swap-sqr_binary64_2798` `log-pow_binary64_2920` `add-exp-log_binary64_2869`
7×	`associate-r_binary64_2771` `associate-l_binary64_2772`
6×	`pow1/3_binary64_2913` `log-div_binary64_2918`
4×	`add-log-exp_binary64_2870` `add-cbrt-cube_binary64_2867` `unswap-sqr_binary64_2799`
3×	`flip3-+_binary64_2834` `distribute-lft-out_binary64_2782` `rem-log-exp_binary64_2872` `flip-+_binary64_2805`
2×	`pow-prod-down_binary64_2902` `pow-prod-up_binary64_2901` `pow-sqr_binary64_2804`
1×	`cbrt-unprod_binary64_2864` `*-commutative_binary64_2762` `prod-exp_binary64_2880` `pow2_binary64_2912` `pow-plus_binary64_2894`

Counts

4 → 90

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (log.f64 (log.f64 (+.f64 1 (exp.f64 x))))))
5.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
5.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
5.0ms	(log.f64 (+.f64 1 (exp.f64 x)))

series594.0ms (15.4%)

Counts

4 → 12

Calls

4 calls:

367.0ms	(*.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (log.f64 (log.f64 (+.f64 1 (exp.f64 x))))))
83.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
74.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
69.0ms	(log.f64 (+.f64 1 (exp.f64 x)))

simplify87.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5219	1747

prune244.0ms (6.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	2	2
Picked	1	0	1
Done	1	1	2
Total	103	4	107

Merged error: 0.2b

Counts

107 → 4

Compiler

Compiled 4112 to 3093 computations (24.8% saved)

regimes26.0ms (0.7%)

Compiler: Compiled 190 to 170 computations (10.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	63
1	53	63

end0.0ms (0%)

sample924.0ms (24%)

Algorithm

1×

intervals

Results

374.0ms	7394×	body	128	valid
85.0ms	201×	body	1024	valid
58.0ms	252×	body	512	valid
19.0ms	151×	body	256	valid
3.0ms	49×	body	128	invalid
2.0ms	2×	body	2048	valid
0.0ms	9×	body	128	overflowed

Compiler

Compiled 166 to 144 computations (13.3% saved)

Details

analyze64.0ms (1.7%)

sample25.0ms (0.6%)

simplify177.0ms (4.6%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite19.0ms (0.5%)

series168.0ms (4.4%)

simplify66.0ms (1.7%)

prune98.0ms (2.5%)

localize10.0ms (0.3%)

rewrite24.0ms (0.6%)

series385.0ms (10%)

simplify77.0ms (2%)

prune103.0ms (2.7%)

localize13.0ms (0.3%)

rewrite23.0ms (0.6%)

series470.0ms (12.2%)

simplify69.0ms (1.8%)

prune115.0ms (3%)

localize21.0ms (0.5%)

rewrite33.0ms (0.9%)

series594.0ms (15.4%)

simplify87.0ms (2.3%)

prune244.0ms (6.3%)

regimes26.0ms (0.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample924.0ms (24%)

Profiling