Details

analyze305.0ms (7.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample26.0ms (0.6%)

Algorithm

1×

intervals

Results

13.0ms	92×	body	1024	valid
3.0ms	103×	body	128	valid
3.0ms	35×	body	512	valid
1.0ms	5×	body	2048	valid
1.0ms	21×	body	256	valid

Compiler

Compiled 15 to 12 computations (20% saved)

simplify99.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11

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

Error

40.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.5b	(-.f64 (exp.f64 x) 1)

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_2146`
30×	`*-un-lft-identity_binary64_2124`
21×	`times-frac_binary64_2130`
15×	`add-cube-cbrt_binary64_2159`
10×	`difference-of-squares_binary64_2093`
7×	`associate-/r*_binary64_2068`
5×	`distribute-lft-out--_binary64_2076` `difference-of-sqr-1_binary64_2094`
4×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`
3×	`cancel-sign-sub-inv_binary64_2090` `associate-/l*_binary64_2069` `add-exp-log_binary64_2162`
2×	`flip--_binary64_2099` `flip3--_binary64_2128` `associate-/r/_binary64_2070` `pow1_binary64_2185`
1×	`clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `diff-log_binary64_2216` `sub-neg_binary64_2117` `div-inv_binary64_2121` `div-exp_binary64_2175` `frac-2neg_binary64_2135`

Counts

2 → 63

Calls

2 calls:

7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
5.0ms	(-.f64 (exp.f64 x) 1)

series63.0ms (1.5%)

Counts

2 → 12

Calls

2 calls:

45.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
17.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 140 to 111 computations (20.7% saved)

simplify70.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5105	1195

prune78.0ms (1.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	4	76

Error

Counts

76 → 4

Compiler

Compiled 1043 to 530 computations (49.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (+.f64 1/2 (/.f64 1 x)) (.f64 x 1/12)) (.f64 (pow.f64 x 3) 1/720))
0.0b	(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
0.1b	(*.f64 (pow.f64 x 3) 1/720)
0.3b	(*.f64 x 1/12)

rewrite41.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_2146`
18×	`add-log-exp_binary64_2163`
15×	`associate-l_binary64_2065`
11×	`add-exp-log_binary64_2162`
10×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
8×	`add-cbrt-cube_binary64_2160`
6×	`sum-log_binary64_2215` `pow1_binary64_2185` `associate-r_binary64_2064`
5×	`unswap-sqr_binary64_2092`
4×	`unpow-prod-down_binary64_2203` `prod-exp_binary64_2173` `cube-prod_binary64_2152`
3×	`diff-log_binary64_2216`
2×	`*-commutative_binary64_2055` `sqr-pow_binary64_2096` `cbrt-unprod_binary64_2157`
1×	`flip--_binary64_2099` `unpow3_binary64_2190` `pow-prod-down_binary64_2195` `flip3--_binary64_2128` `cancel-sign-sub-inv_binary64_2090` `cube-mult_binary64_2154` `pow-exp_binary64_2192` `+-commutative_binary64_2054` `associate--l+_binary64_2061` `sub-neg_binary64_2117` `pow-to-exp_binary64_2193` `flip3-+_binary64_2127` `associate-+l+_binary64_2057` `flip-+_binary64_2098`

Counts

4 → 77

Calls

4 calls:

13.0ms	(-.f64 (+.f64 (+.f64 1/2 (/.f64 1 x)) (.f64 x 1/12)) (.f64 (pow.f64 x 3) 1/720))
10.0ms	(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
9.0ms	(*.f64 (pow.f64 x 3) 1/720)
4.0ms	(*.f64 x 1/12)

series150.0ms (3.6%)

Counts

4 → 27

Calls

4 calls:

53.0ms	(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
42.0ms	(-.f64 (+.f64 (+.f64 1/2 (/.f64 1 x)) (.f64 x 1/12)) (.f64 (pow.f64 x 3) 1/720))
35.0ms	(*.f64 (pow.f64 x 3) 1/720)
19.0ms	(*.f64 x 1/12)

Compiler

Compiled 442 to 389 computations (12% saved)

simplify86.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4946	1364
1	4946	1364

prune114.0ms (2.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	104	4	108

Error

Counts

108 → 4

Compiler

Compiled 1951 to 1556 computations (20.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
2.8b	(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
18×	`times-frac_binary64_2130`
14×	`add-cube-cbrt_binary64_2159`
10×	`difference-of-squares_binary64_2093`
6×	`associate-/r*_binary64_2068` `add-exp-log_binary64_2162`
5×	`distribute-lft-out--_binary64_2076`
4×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`
3×	`cancel-sign-sub-inv_binary64_2090` `associate-/l*_binary64_2069` `pow1_binary64_2185`
2×	`flip--_binary64_2099` `flip3--_binary64_2128` `associate-/r/_binary64_2070` `div-exp_binary64_2175`
1×	`clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `diff-log_binary64_2216` `sub-neg_binary64_2117` `pow-flip_binary64_2198` `1-exp_binary64_2168` `div-inv_binary64_2121` `inv-pow_binary64_2209` `frac-2neg_binary64_2135` `rec-exp_binary64_2174`

Counts

2 → 62

Calls

2 calls:

7.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

series65.0ms (1.6%)

Counts

2 → 12

Calls

2 calls:

45.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
20.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

Compiler

Compiled 140 to 131 computations (6.4% saved)

simplify90.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4951	1118
1	4951	1118

prune58.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	74	4	78

Error

Counts

78 → 4

Compiler

Compiled 956 to 614 computations (35.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 3)
0.4b	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
0.5b	(/.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)))))
2.5b	(-.f64 (pow.f64 (exp.f64 x) 3) 1)

rewrite107.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

402×	`times-frac_binary64_2130`
386×	`add-sqr-sqrt_binary64_2146`
267×	`*-un-lft-identity_binary64_2124`
165×	`add-cube-cbrt_binary64_2159`
136×	`difference-of-squares_binary64_2093`
68×	`difference-of-sqr-1_binary64_2094`
57×	`associate-/r*_binary64_2068`
54×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
52×	`sqr-pow_binary64_2096`
19×	`associate-/l*_binary64_2069`
17×	`distribute-lft-out--_binary64_2076`
12×	`add-cbrt-cube_binary64_2160`
11×	`associate-/r/_binary64_2070`
9×	`add-exp-log_binary64_2162`
6×	`add-log-exp_binary64_2163` `div-inv_binary64_2121`
5×	`pow1_binary64_2185` `flip3-+_binary64_2127` `flip-+_binary64_2098`
4×	`cbrt-undiv_binary64_2158` `pow-pow_binary64_2196` `div-exp_binary64_2175`
3×	`cancel-sign-sub-inv_binary64_2090` `pow-unpow_binary64_2201` `exp-prod_binary64_2176`
2×	`flip--_binary64_2099` `clear-num_binary64_2123` `flip3--_binary64_2128` `associate-/l/_binary64_2071` `frac-2neg_binary64_2135`
1×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `pow-exp_binary64_2192` `diff-log_binary64_2216` `sub-neg_binary64_2117` `pow-to-exp_binary64_2193` `div-sub_binary64_2129` `rem-cube-cbrt_binary64_2147`

Counts

4 → 371

Calls

4 calls:

22.0ms	(/.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)))))
13.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
8.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 1)
4.0ms	(pow.f64 (exp.f64 x) 3)

series322.0ms (7.7%)

Counts

4 → 24

Calls

4 calls:

132.0ms	(/.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)))))
111.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
46.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 1)
33.0ms	(pow.f64 (exp.f64 x) 3)

Compiler

Compiled 582 to 425 computations (27% saved)

simplify203.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

395 → 395

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4984	17696
1	4984	17696

prune993.0ms (23.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	395	0	395
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	395	4	399

Error

Counts

399 → 4

Compiler

Compiled 13931 to 8405 computations (39.7% saved)

regimes114.0ms (2.7%)

Accuracy

Total 0.9b remaining (99.7%)

Threshold costs 0.9b (99.7%)

Compiler

Compiled 1056 to 746 computations (29.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	27
1	20	27

end0.0ms (0%)

sample1.1s (26.8%)

Algorithm

1×

intervals

Results

373.0ms	2655×	body	1024	valid
103.0ms	1344×	body	512	valid
79.0ms	3087×	body	128	valid
39.0ms	246×	body	2048	valid
36.0ms	668×	body	256	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 310 to 225 computations (27.4% saved)

Details

analyze305.0ms (7.3%)

sample26.0ms (0.6%)

simplify99.0ms (2.4%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite17.0ms (0.4%)

series63.0ms (1.5%)

simplify70.0ms (1.7%)

prune78.0ms (1.9%)

localize10.0ms (0.2%)

rewrite41.0ms (1%)

series150.0ms (3.6%)

simplify86.0ms (2.1%)

prune114.0ms (2.7%)

localize5.0ms (0.1%)

rewrite16.0ms (0.4%)

series65.0ms (1.6%)

simplify90.0ms (2.2%)

prune58.0ms (1.4%)

localize10.0ms (0.2%)

rewrite107.0ms (2.6%)

series322.0ms (7.7%)

simplify203.0ms (4.9%)

prune993.0ms (23.8%)

regimes114.0ms (2.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (26.8%)

Profiling