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)

sample32.0ms (0.9%)

Algorithm

1×

intervals

Results

14.0ms	64×	body	1024	valid
5.0ms	132×	body	128	valid
3.0ms	27×	body	512	valid
2.0ms	9×	body	2048	valid
2.0ms	24×	body	256	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify168.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4758	15
1	4758	15

prune7.0ms (0.2%)

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: 31.2b

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)))
4.6b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite24.0ms (0.6%)

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:

11.0ms	(-.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)))

series86.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

47.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
31.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
8.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify77.0ms (2%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5084	1373

prune103.0ms (2.7%)

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

Merged error: 0.0b

Counts

76 → 2

Compiler

Compiled 1275 to 1155 computations (9.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 2/15 (pow.f64 x 5))
0.2b	(*.f64 1/3 (pow.f64 x 3))
17.6b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

rewrite22.0ms (0.6%)

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))

series84.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

32.0ms	(*.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))

simplify44.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4986	1003
1	4986	1003

prune83.0ms (2.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	79	2	81

Merged error: 0b

Counts

81 → 2

Compiler

Compiled 1433 to 1113 computations (22.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 2/15 (pow.f64 x 5))
0.2b	(*.f64 1/3 (pow.f64 x 3))
17.6b	(-.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))

rewrite21.0ms (0.6%)

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`
7×	`unswap-sqr_binary64_3115` `add-cbrt-cube_binary64_3183`
6×	`prod-exp_binary64_3196` `associate-l_binary64_3088`
5×	`add-log-exp_binary64_3186`
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`
1×	`flip--_binary64_3122` `cancel-sign-sub-inv_binary64_3113` `flip3--_binary64_3151` `sub-neg_binary64_3140` `cube-mult_binary64_3177` `diff-log_binary64_3239` `unpow3_binary64_3213`

Counts

3 → 68

Calls

3 calls:

6.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(*.f64 2/15 (pow.f64 x 5))
5.0ms	(-.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))

series153.0ms (4.1%)

Counts

3 → 9

Calls

3 calls:

99.0ms	(-.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
30.0ms	(*.f64 2/15 (pow.f64 x 5))
23.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify74.0ms (2%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4852	886
1	4852	886

prune80.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	77	2	79

Merged error: 0b

Counts

79 → 2

Compiler

Compiled 1361 to 1058 computations (22.3% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.5b	(/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
4.6b	(-.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)

rewrite98.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

79×	`add-sqr-sqrt_binary64_3169`
51×	`times-frac_binary64_3153`
42×	`*-un-lft-identity_binary64_3147`
31×	`sqrt-prod_binary64_3163`
21×	`add-cube-cbrt_binary64_3182`
14×	`difference-of-squares_binary64_3116`
10×	`add-log-exp_binary64_3186`
7×	`difference-of-sqr-1_binary64_3117` `associate-/r*_binary64_3091`
6×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `distribute-lft-out_binary64_3098`
4×	`pow1_binary64_3208`
3×	`cancel-sign-sub-inv_binary64_3113` `flip-+_binary64_3121` `flip3-+_binary64_3150` `associate-/l*_binary64_3092`
2×	`+-commutative_binary64_3077` `associate-/r/_binary64_3093` `sqrt-div_binary64_3164` `sum-log_binary64_3238`
1×	`flip--_binary64_3122` `clear-num_binary64_3146` `flip3--_binary64_3151` `frac-2neg_binary64_3158` `sub-neg_binary64_3140` `distribute-lft-out--_binary64_3099` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `diff-log_binary64_3239` `div-inv_binary64_3144`

Counts

4 → 105

Calls

4 calls:

73.0ms	(-.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
6.0ms	(/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series106.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
44.0ms	(-.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
8.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
7.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify93.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4891	2721
1	4891	2721

prune188.0ms (5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	117	2	119

Merged error: 0b

Counts

119 → 2

Compiler

Compiled 2959 to 2670 computations (9.8% saved)

regimes638.0ms (16.9%)

Compiler: Compiled 5007 to 5031 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 (2.0ms)

Iter	Nodes	Cost
0	105	101
1	105	101

end0.0ms (0%)

sample1.5s (41%)

Algorithm

1×

intervals

Results

409.0ms	1991×	body	1024	valid
156.0ms	4299×	body	128	valid
116.0ms	963×	body	512	valid
55.0ms	229×	body	2048	valid
40.0ms	518×	body	256	valid

Compiler

Compiled 556 to 548 computations (1.4% saved)

Details

analyze2.0ms (0%)

sample32.0ms (0.9%)

simplify168.0ms (4.5%)

prune7.0ms (0.2%)

localize7.0ms (0.2%)

rewrite24.0ms (0.6%)

series86.0ms (2.3%)

simplify77.0ms (2%)

prune103.0ms (2.7%)

localize9.0ms (0.2%)

rewrite22.0ms (0.6%)

series84.0ms (2.2%)

simplify44.0ms (1.2%)

prune83.0ms (2.2%)

localize8.0ms (0.2%)

rewrite21.0ms (0.6%)

series153.0ms (4.1%)

simplify74.0ms (2%)

prune80.0ms (2.1%)

localize11.0ms (0.3%)

rewrite98.0ms (2.6%)

series106.0ms (2.8%)

simplify93.0ms (2.5%)

prune188.0ms (5%)

regimes638.0ms (16.9%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.5s (41%)

Profiling