Details

analyze1.3s (18.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample132.0ms (1.8%)

Algorithm

1×

intervals

Results

77.0ms	123×	body	1024	valid
20.0ms	63×	body	512	valid
12.0ms	13×	body	2048	valid
6.0ms	38×	body	256	valid
5.0ms	256×	pre	128	true
1.0ms	19×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	14
1	45	14

prune2.0ms (0%)

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: 61.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
6.0b	(log.f64 (+.f64 1 x))
6.2b	(log.f64 (-.f64 1 x))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_760`
18×	`add-sqr-sqrt_binary64_782`
16×	`times-frac_binary64_766`
15×	`add-cube-cbrt_binary64_795` `pow1_binary64_821`
12×	`log-pow_binary64_849`
10×	`log-prod_binary64_846`
7×	`add-exp-log_binary64_798`
6×	`log-div_binary64_847`
5×	`add-cbrt-cube_binary64_796`
4×	`associate-/r_binary64_704` `associate-/l_binary64_705`
3×	`add-log-exp_binary64_799`
2×	`difference-of-squares_binary64_729` `div-sub_binary64_765` `rem-log-exp_binary64_801` `flip--_binary64_735` `flip3--_binary64_764`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `distribute-lft-out_binary64_711` `flip3-+_binary64_763` `div-inv_binary64_757` `flip-+_binary64_734` `distribute-lft-out--_binary64_712` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

3 → 70

Calls

3 calls:

9.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
5.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series97.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

69.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
14.0ms	(log.f64 (-.f64 1 x))
13.0ms	(log.f64 (+.f64 1 x))

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5149	1554

prune99.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	73	6	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	6	80

Merged error: 0.2b

Counts

80 → 6

Compiler

Compiled 1429 to 1104 computations (22.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 x x) 1/2)

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
3×	`prod-exp_binary64_809` `associate-r_binary64_700` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `add-sqr-sqrt_binary64_782`
2×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
1×	`unswap-sqr_binary64_728` `add-log-exp_binary64_799` `associate-l_binary64_701` `*-commutative_binary64_691`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x x) 1/2)

series21.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

21.0ms

(*.f64 (*.f64 x x) 1/2)

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5001	181

prune23.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	22	6	28

Merged error: 0.2b

Counts

28 → 6

Compiler

Compiled 337 to 238 computations (29.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
0.0b	(exp.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))))
6.0b	(log.f64 (+.f64 1 x))
6.2b	(log.f64 (-.f64 1 x))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`times-frac_binary64_766`
30×	`*-un-lft-identity_binary64_760`
28×	`add-sqr-sqrt_binary64_782`
25×	`add-cube-cbrt_binary64_795`
24×	`pow1_binary64_821`
20×	`exp-prod_binary64_812` `log-pow_binary64_849`
10×	`log-prod_binary64_846`
8×	`log-div_binary64_847` `add-exp-log_binary64_798`
6×	`add-cbrt-cube_binary64_796`
5×	`add-log-exp_binary64_799`
4×	`associate-/r_binary64_704` `associate-/l_binary64_705` `div-sub_binary64_765`
3×	`div-inv_binary64_757` `flip--_binary64_735` `flip3--_binary64_764`
2×	`exp-diff_binary64_808` `difference-of-squares_binary64_729` `rem-log-exp_binary64_801`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `distribute-lft-out_binary64_711` `flip3-+_binary64_763` `rem-exp-log_binary64_800` `flip-+_binary64_734` `distribute-lft-out--_binary64_712` `exp-to-pow_binary64_822` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

4 → 101

Calls

4 calls:

7.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
5.0ms	(exp.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series214.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

126.0ms	(exp.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))))
62.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
14.0ms	(log.f64 (-.f64 1 x))
12.0ms	(log.f64 (+.f64 1 x))

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5041	2534

prune138.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	114	5	119

Merged error: 0.1b

Counts

119 → 5

Compiler

Compiled 2449 to 1927 computations (21.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (.f64 1/12 (pow.f64 x 3)) x)))
0.0b	(log.f64 (-.f64 (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (.f64 1/12 (pow.f64 x 3)) x))))
0.1b	(*.f64 1/12 (pow.f64 x 3))
0.2b	(.f64 (exp.f64 -1) (+.f64 (.f64 1/12 (pow.f64 x 3)) x))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_782`
15×	`associate-r_binary64_700`
11×	`*-un-lft-identity_binary64_760` `add-exp-log_binary64_798` `add-cube-cbrt_binary64_795`
8×	`add-cbrt-cube_binary64_796`
7×	`pow1_binary64_821`
6×	`add-log-exp_binary64_799` `associate-l_binary64_701`
5×	`unswap-sqr_binary64_728`
4×	`prod-exp_binary64_809` `cube-prod_binary64_788` `unpow-prod-down_binary64_839`
3×	`log-prod_binary64_846`
2×	`log-div_binary64_847` `distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `associate-r/_binary64_702` `associate--r+_binary64_696` `sqr-pow_binary64_732` `cbrt-unprod_binary64_793` `-commutative_binary64_691` `flip--_binary64_735` `flip3--_binary64_764`
1×	`cube-mult_binary64_790` `diff-log_binary64_852` `flip3-+_binary64_763` `unpow3_binary64_826` `cancel-sign-sub-inv_binary64_726` `pow-exp_binary64_828` `flip-+_binary64_734` `pow-to-exp_binary64_829` `log-pow_binary64_849` `rem-log-exp_binary64_801` `sub-neg_binary64_753` `pow-prod-down_binary64_831`

Counts

4 → 81

Calls

4 calls:

10.0ms	(.f64 (exp.f64 -1) (+.f64 (.f64 1/12 (pow.f64 x 3)) x))
7.0ms	(*.f64 1/12 (pow.f64 x 3))
4.0ms	(-.f64 (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (.f64 1/12 (pow.f64 x 3)) x)))
3.0ms	(log.f64 (-.f64 (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (.f64 1/12 (pow.f64 x 3)) x))))

series225.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

131.0ms	(.f64 (exp.f64 -1) (+.f64 (.f64 1/12 (pow.f64 x 3)) x))
41.0ms	(log.f64 (-.f64 (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (.f64 1/12 (pow.f64 x 3)) x))))
30.0ms	(-.f64 (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (.f64 1/12 (pow.f64 x 3)) x)))
23.0ms	(*.f64 1/12 (pow.f64 x 3))

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4876	1603
1	4876	1603

prune111.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	92	6	98

Merged error: 0.0b

Counts

98 → 6

Compiler

Compiled 1810 to 1533 computations (15.3% saved)

regimes65.0ms (0.9%)

Compiler: Compiled 618 to 526 computations (14.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	22
1	72	22

end0.0ms (0%)

sample4.4s (60.4%)

Algorithm

1×

intervals

Results

2.5s	3981×	body	1024	valid
642.0ms	2028×	body	512	valid
341.0ms	400×	body	2048	valid
157.0ms	998×	body	256	valid
154.0ms	8000×	pre	128	true
40.0ms	593×	body	128	valid

Compiler

Compiled 326 to 277 computations (15% saved)

Details

analyze1.3s (18.1%)

sample132.0ms (1.8%)

simplify98.0ms (1.3%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite22.0ms (0.3%)

series97.0ms (1.3%)

simplify55.0ms (0.7%)

prune99.0ms (1.3%)

localize5.0ms (0.1%)

rewrite7.0ms (0.1%)

series21.0ms (0.3%)

simplify52.0ms (0.7%)

prune23.0ms (0.3%)

localize9.0ms (0.1%)

rewrite26.0ms (0.4%)

series214.0ms (2.9%)

simplify54.0ms (0.7%)

prune138.0ms (1.9%)

localize10.0ms (0.1%)

rewrite30.0ms (0.4%)

series225.0ms (3.1%)

simplify74.0ms (1%)

prune111.0ms (1.5%)

regimes65.0ms (0.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.4s (60.4%)

Profiling