Details

analyze2.0ms (0%)

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)

sample37.0ms (0.9%)

Algorithm

1×

intervals

Results

19.0ms	72×	body	1024	valid
4.0ms	127×	body	128	valid
4.0ms	34×	body	512	valid
2.0ms	8×	body	2048	valid
1.0ms	15×	body	256	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify172.0ms (4%)

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

31.1b

Counts

2 → 1

Compiler

Compiled 20 to 22 computations (-10% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
2.7b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite28.0ms (0.7%)

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:

12.0ms	(-.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)))

series79.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

43.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
28.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
7.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify80.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5084	1373

prune104.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	3	76

Error

0.0b

Counts

76 → 3

Compiler

Compiled 1323 to 1201 computations (9.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 2/15 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))
15.4b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

rewrite23.0ms (0.5%)

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:

6.0ms	(*.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)))
5.0ms	(*.f64 2/15 (pow.f64 x 5))

series90.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

31.0ms	(*.f64 2/15 (pow.f64 x 5))
30.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))
28.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify44.0ms (1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4986	1003
1	4986	1003

prune86.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	79	3	82

Error

0.0b

Counts

82 → 3

Compiler

Compiled 1468 to 1147 computations (21.9% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(/.f64 (+.f64 2 (/.f64 4 (+.f64 1 (exp.f64 (.f64 -2 x))))) (+.f64 1 (exp.f64 (.f64 -2 x))))
0.0b	(pow.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 3)
2.7b	(-.f64 (pow.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 3) 1)

rewrite62.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`*-un-lft-identity_binary64_3147`
59×	`add-sqr-sqrt_binary64_3169`
46×	`times-frac_binary64_3153`
32×	`add-cube-cbrt_binary64_3182`
24×	`unpow-prod-down_binary64_3226` `cube-prod_binary64_3175`
17×	`distribute-lft-out_binary64_3098`
12×	`difference-of-squares_binary64_3116`
9×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
8×	`add-log-exp_binary64_3186`
6×	`difference-of-sqr-1_binary64_3117` `associate-/r/_binary64_3093`
5×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `pow1_binary64_3208`
4×	`associate-/r_binary64_3091` `sqr-pow_binary64_3119` `associate-/l_binary64_3092`
3×	`cancel-sign-sub-inv_binary64_3113` `pow-unpow_binary64_3224` `div-inv_binary64_3144`
2×	`pow-exp_binary64_3215` `rem-cube-cbrt_binary64_3170` `associate-/l/_binary64_3094` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198`
1×	`flip--_binary64_3122` `clear-num_binary64_3146` `flip3--_binary64_3151` `frac-2neg_binary64_3158` `pow-to-exp_binary64_3216` `sub-neg_binary64_3140` `distribute-lft-out--_binary64_3099` `+-commutative_binary64_3077` `cube-mult_binary64_3177` `diff-log_binary64_3239` `cube-div_binary64_3176` `pow-pow_binary64_3219` `unpow3_binary64_3213` `sum-log_binary64_3238`

Counts

4 → 141

Calls

4 calls:

20.0ms	(-.f64 (pow.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 3) 1)
14.0ms	(/.f64 (+.f64 2 (/.f64 4 (+.f64 1 (exp.f64 (.f64 -2 x))))) (+.f64 1 (exp.f64 (.f64 -2 x))))
7.0ms	(pow.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 3)
3.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series209.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(-.f64 (pow.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 3) 1)
64.0ms	(/.f64 (+.f64 2 (/.f64 4 (+.f64 1 (exp.f64 (.f64 -2 x))))) (+.f64 1 (exp.f64 (.f64 -2 x))))
50.0ms	(pow.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 3)
7.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify96.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5335	4059

prune451.0ms (10.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	152	4	156

Error

0.0b

Counts

156 → 4

Compiler

Compiled 6270 to 5695 computations (9.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1))
2.7b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
2.7b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
2.7b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite55.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-sqr-sqrt_binary64_3169`
24×	`*-un-lft-identity_binary64_3147`
16×	`difference-of-squares_binary64_3116`
12×	`times-frac_binary64_3153`
10×	`add-log-exp_binary64_3186` `cbrt-prod_binary64_3178`
9×	`cancel-sign-sub-inv_binary64_3113`
8×	`difference-of-sqr-1_binary64_3117` `add-cube-cbrt_binary64_3182`
4×	`flip--_binary64_3122` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `flip3--_binary64_3151` `distribute-lft-out--_binary64_3099` `pow1_binary64_3208`
3×	`sub-neg_binary64_3140` `diff-log_binary64_3239`
2×	`cbrt-div_binary64_3179`
1×	`pow1/3_binary64_3229`

Counts

4 → 83

Calls

4 calls:

13.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
11.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
11.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
10.0ms	(cbrt.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1))

series281.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1))
46.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
42.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
40.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

simplify113.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4948	2192
1	4948	2192

prune256.0ms (6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	95	4	99

Error

0.0b

Counts

99 → 4

Compiler

Compiled 4054 to 3712 computations (8.4% saved)

regimes539.0ms (12.6%)

Accuracy

Total 0.1b remaining (91.2%)

Threshold costs 0.1b (91.2%)

Compiler

Compiled 3732 to 3752 computations (-0.5% 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 (1.0ms)

Iter	Nodes	Cost
0	76	129
1	76	129

end0.0ms (0%)

sample1.4s (32.9%)

Algorithm

1×

intervals

Results

394.0ms	1995×	body	1024	valid
151.0ms	4303×	body	128	valid
115.0ms	977×	body	512	valid
52.0ms	225×	body	2048	valid
37.0ms	500×	body	256	valid

Compiler

Compiled 447 to 439 computations (1.8% saved)

Details

analyze2.0ms (0%)

sample37.0ms (0.9%)

simplify172.0ms (4%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite28.0ms (0.7%)

series79.0ms (1.8%)

simplify80.0ms (1.9%)

prune104.0ms (2.4%)

localize8.0ms (0.2%)

rewrite23.0ms (0.5%)

series90.0ms (2.1%)

simplify44.0ms (1%)

prune86.0ms (2%)

localize17.0ms (0.4%)

rewrite62.0ms (1.5%)

series209.0ms (4.9%)

simplify96.0ms (2.2%)

prune451.0ms (10.6%)

localize11.0ms (0.3%)

rewrite55.0ms (1.3%)

series281.0ms (6.6%)

simplify113.0ms (2.6%)

prune256.0ms (6%)

regimes539.0ms (12.6%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (32.9%)

Profiling