Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 11 to 12 computations (-9.1% saved)

sample28.0ms (0.9%)

Algorithm

1×

intervals

Results

11.0ms	54×	body	1024	valid
5.0ms	154×	body	128	valid
4.0ms	33×	body	512	valid
1.0ms	13×	body	256	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify171.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4758	15
1	4758	15

prune3.0ms (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

25.5b

Counts

2 → 1

Compiler

Compiled 20 to 22 computations (-10% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.0b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite29.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64_3147`
24×	`add-sqr-sqrt_binary64_3169`
15×	`times-frac_binary64_3153`
13×	`add-cube-cbrt_binary64_3182`
7×	`add-log-exp_binary64_3186`
5×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `distribute-lft-out_binary64_3098`
4×	`associate-/r*_binary64_3091` `difference-of-squares_binary64_3116`
3×	`cancel-sign-sub-inv_binary64_3113` `pow1_binary64_3208` `associate-/l*_binary64_3092`
2×	`flip-+_binary64_3121` `difference-of-sqr-1_binary64_3117` `flip3-+_binary64_3150` `associate-/r/_binary64_3093`
1×	`flip--_binary64_3122` `clear-num_binary64_3146` `flip3--_binary64_3151` `frac-2neg_binary64_3158` `sub-neg_binary64_3140` `distribute-lft-out--_binary64_3099` `+-commutative_binary64_3077` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `diff-log_binary64_3239` `div-inv_binary64_3144` `sum-log_binary64_3238`

Counts

3 → 66

Calls

3 calls:

16.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
5.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series78.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

42.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
29.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
7.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify77.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5084	1373

prune93.0ms (3.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	2	76

Error

Counts

76 → 2

Compiler

Compiled 1268 to 1149 computations (9.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.0b	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
3.0b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite41.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64_3169`
35×	`*-un-lft-identity_binary64_3147`
18×	`times-frac_binary64_3153`
17×	`add-cube-cbrt_binary64_3182`
11×	`log-pow_binary64_3236`
10×	`exp-prod_binary64_3199`
8×	`difference-of-squares_binary64_3116` `add-log-exp_binary64_3186`
7×	`log-prod_binary64_3233`
6×	`add-exp-log_binary64_3185` `cancel-sign-sub-inv_binary64_3113` `add-cbrt-cube_binary64_3183`
5×	`distribute-lft-out_binary64_3098` `pow1_binary64_3208`
4×	`exp-sum_binary64_3193` `difference-of-sqr-1_binary64_3117` `associate-/r*_binary64_3091`
3×	`associate-/l*_binary64_3092`
2×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `sub-neg_binary64_3140` `distribute-lft-out--_binary64_3099` `associate-/r/_binary64_3093`
1×	`flip--_binary64_3122` `rem-log-exp_binary64_3188` `clear-num_binary64_3146` `flip3--_binary64_3151` `frac-2neg_binary64_3158` `+-commutative_binary64_3077` `exp-diff_binary64_3195` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `diff-log_binary64_3239` `log-div_binary64_3234` `div-inv_binary64_3144` `sum-log_binary64_3238`

Counts

4 → 93

Calls

4 calls:

13.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
11.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series209.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

125.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
48.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
29.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
7.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify101.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4963	1903
1	4963	1903

prune123.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	105	2	107

Error

Counts

107 → 2

Compiler

Compiled 1929 to 1762 computations (8.7% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 2/15 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))
23.4b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_3169`
19×	`associate-r_binary64_3087`
13×	`add-exp-log_binary64_3185`
10×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
8×	`unpow-prod-down_binary64_3226` `add-log-exp_binary64_3186`
7×	`unswap-sqr_binary64_3115` `add-cbrt-cube_binary64_3183`
6×	`prod-exp_binary64_3196` `associate-l_binary64_3088`
4×	`cube-prod_binary64_3175` `sqr-pow_binary64_3119`
3×	`pow1_binary64_3208`
2×	`*-commutative_binary64_3078` `pow-exp_binary64_3215` `pow-to-exp_binary64_3216` `cbrt-unprod_binary64_3180` `diff-log_binary64_3239`
1×	`flip--_binary64_3122` `cancel-sign-sub-inv_binary64_3113` `associate--l+_binary64_3084` `flip3--_binary64_3151` `sub-neg_binary64_3140` `cube-mult_binary64_3177` `unpow3_binary64_3213` `sum-log_binary64_3238`

Counts

3 → 70

Calls

3 calls:

7.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))
6.0ms	(*.f64 2/15 (pow.f64 x 5))

series87.0ms (3%)

Counts

3 → 9

Calls

3 calls:

33.0ms	(*.f64 2/15 (pow.f64 x 5))
29.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))
24.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify42.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4986	1003
1	4986	1003

prune84.0ms (2.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	79	2	81

Error

Counts

81 → 2

Compiler

Compiled 1401 to 1082 computations (22.8% saved)

regimes439.0ms (15%)

Accuracy

Total 0.2b remaining (98.4%)

Threshold costs 0.2b (98.4%)

Compiler

Compiled 2866 to 2899 computations (-1.2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	81	69
1	81	69

end0.0ms (0%)

sample1.3s (43.2%)

Algorithm

1×

intervals

Results

398.0ms	1986×	body	1024	valid
146.0ms	4290×	body	128	valid
121.0ms	980×	body	512	valid
48.0ms	213×	body	2048	valid
43.0ms	531×	body	256	valid

Compiler

Compiled 320 to 318 computations (0.6% saved)

Details

analyze2.0ms (0.1%)

sample28.0ms (0.9%)

simplify171.0ms (5.9%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite29.0ms (1%)

series78.0ms (2.7%)

simplify77.0ms (2.6%)

prune93.0ms (3.2%)

localize10.0ms (0.3%)

rewrite41.0ms (1.4%)

series209.0ms (7.2%)

simplify101.0ms (3.5%)

prune123.0ms (4.2%)

localize9.0ms (0.3%)

rewrite23.0ms (0.8%)

series87.0ms (3%)

simplify42.0ms (1.5%)

prune84.0ms (2.9%)

regimes439.0ms (15%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (43.2%)

Profiling