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)

sample29.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	61×	body	1024	valid
5.0ms	140×	body	128	valid
3.0ms	28×	body	512	valid
2.0ms	23×	body	256	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify181.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4758	15
1	4758	15

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: 28.9b

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)))
4.7b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite26.0ms (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:

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)))

series86.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

44.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
34.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
8.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify76.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5084	1373

prune98.0ms (2.4%)

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: 0b

Counts

76 → 2

Compiler

Compiled 1275 to 1155 computations (9.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x)))))
0.5b	(/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
4.7b	(-.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)

rewrite164.0ms (4%)

Algorithm

1×	rewrite-expression-head

Rules

408×	`times-frac_binary64_3153`
312×	`*-un-lft-identity_binary64_3147`
247×	`add-sqr-sqrt_binary64_3169`
239×	`sqrt-prod_binary64_3163`
189×	`add-cube-cbrt_binary64_3182`
57×	`distribute-lft-out_binary64_3098`
30×	`associate-/l*_binary64_3092`
20×	`associate-/r/_binary64_3093` `sqrt-div_binary64_3164`
14×	`associate-/r*_binary64_3091` `difference-of-squares_binary64_3116`
11×	`add-exp-log_binary64_3185` `flip-+_binary64_3121` `add-cbrt-cube_binary64_3183` `flip3-+_binary64_3150`
10×	`div-inv_binary64_3144`
8×	`add-log-exp_binary64_3186`
7×	`difference-of-sqr-1_binary64_3117`
4×	`pow1_binary64_3208` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198`
3×	`cancel-sign-sub-inv_binary64_3113`
2×	`clear-num_binary64_3146` `frac-2neg_binary64_3158`
1×	`flip--_binary64_3122` `flip3--_binary64_3151` `sub-neg_binary64_3140` `associate-/l/_binary64_3094` `distribute-lft-out--_binary64_3099` `+-commutative_binary64_3077` `diff-log_binary64_3239` `sum-log_binary64_3238`

Counts

4 → 333

Calls

4 calls:

80.0ms	(-.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
19.0ms	(/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x)))))
7.0ms	(/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series132.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

49.0ms	(/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
47.0ms	(-.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
29.0ms	(/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x)))))
7.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify189.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

345 → 345

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4895	12299
1	4895	12299

prune898.0ms (21.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	345	0	345
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	345	2	347

Merged error: 0b

Counts

347 → 2

Compiler

Compiled 9829 to 8916 computations (9.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
0.1b	(*.f64 2/15 (pow.f64 x 5))
0.2b	(*.f64 1/3 (pow.f64 x 3))
18.8b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_3169`
19×	`associate-r_binary64_3087`
14×	`add-exp-log_binary64_3185`
11×	`*-un-lft-identity_binary64_3147` `add-log-exp_binary64_3186` `add-cube-cbrt_binary64_3182`
8×	`unpow-prod-down_binary64_3226` `add-cbrt-cube_binary64_3183`
7×	`unswap-sqr_binary64_3115`
6×	`prod-exp_binary64_3196` `associate-l_binary64_3088`
4×	`cube-prod_binary64_3175` `sqr-pow_binary64_3119` `pow1_binary64_3208`
2×	`*-commutative_binary64_3078` `pow-exp_binary64_3215` `pow-to-exp_binary64_3216` `cbrt-unprod_binary64_3180` `diff-log_binary64_3239` `sum-log_binary64_3238`
1×	`flip--_binary64_3122` `cancel-sign-sub-inv_binary64_3113` `flip-+_binary64_3121` `associate--l+_binary64_3084` `flip3--_binary64_3151` `flip3-+_binary64_3150` `sub-neg_binary64_3140` `+-commutative_binary64_3077` `cube-mult_binary64_3177` `unpow3_binary64_3213`

Counts

4 → 81

Calls

4 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))
3.0ms	(+.f64 x (*.f64 2/15 (pow.f64 x 5)))

series179.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
37.0ms	(*.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)))
27.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5120	1194

prune96.0ms (2.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	93	2	95

Merged error: 0b

Counts

95 → 2

Compiler

Compiled 1648 to 1274 computations (22.7% saved)

regimes458.0ms (11.1%)

Compiler: Compiled 3663 to 3676 computations (-0.4% 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	80	107
1	80	107

end0.0ms (0%)

sample1.4s (33.6%)

Algorithm

1×

intervals

Results

417.0ms	2021×	body	1024	valid
150.0ms	4278×	body	128	valid
127.0ms	979×	body	512	valid
54.0ms	221×	body	2048	valid
39.0ms	501×	body	256	valid

Compiler

Compiled 422 to 416 computations (1.4% saved)

Details

analyze2.0ms (0%)

sample29.0ms (0.7%)

simplify181.0ms (4.4%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite26.0ms (0.6%)

series86.0ms (2.1%)

simplify76.0ms (1.8%)

prune98.0ms (2.4%)

localize9.0ms (0.2%)

rewrite164.0ms (4%)

series132.0ms (3.2%)

simplify189.0ms (4.6%)

prune898.0ms (21.7%)

localize9.0ms (0.2%)

rewrite27.0ms (0.7%)

series179.0ms (4.3%)

simplify68.0ms (1.6%)

prune96.0ms (2.3%)

regimes458.0ms (11.1%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (33.6%)

Profiling