Details

analyze77.0ms (2.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample21.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	25×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify157.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

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: 1.5b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
1.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_2099`
12×	`times-frac_binary64_2105`
11×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131`
5×	`distribute-lft-out_binary64_2052`
4×	`add-cbrt-cube_binary64_2132` `add-log-exp_binary64_2135` `associate-/r*_binary64_2045`
3×	`associate-/l*_binary64_2046` `add-exp-log_binary64_2134`
2×	`flip3-+_binary64_2102` `pow1_binary64_2157` `associate-/r/_binary64_2047` `flip-+_binary64_2073`
1×	`cbrt-undiv_binary64_2130` `div-exp_binary64_2147` `sum-log_binary64_2187` `frac-2neg_binary64_2110` `+-commutative_binary64_2031` `clear-num_binary64_2098` `div-inv_binary64_2096`

Counts

2 → 45

Calls

2 calls:

8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series121.0ms (4%)

Counts

2 → 6

Calls

2 calls:

88.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
33.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify60.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5165	899

prune43.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Merged error: 1.4b

Counts

52 → 4

Compiler

Compiled 784 to 173 computations (77.9% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.3b	(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
1.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite78.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

122×	`*-un-lft-identity_binary64_2099`
98×	`sqrt-prod_binary64_2114`
90×	`add-sqr-sqrt_binary64_2120` `times-frac_binary64_2105`
62×	`add-cube-cbrt_binary64_2131`
29×	`swap-sqr_binary64_2066`
27×	`distribute-lft-out_binary64_2052`
21×	`associate-l_binary64_2042` `associate-r_binary64_2041`
19×	`pow1_binary64_2157`
12×	`associate-/r/_binary64_2047`
10×	`add-cbrt-cube_binary64_2132`
9×	`unswap-sqr_binary64_2067`
8×	`associate-/r*_binary64_2045` `pow1/2_binary64_2176` `sqrt-pow1_binary64_2116` `add-exp-log_binary64_2134`
7×	`flip3-+_binary64_2102` `flip-+_binary64_2073`
6×	`add-log-exp_binary64_2135` `associate-/l*_binary64_2046` `div-inv_binary64_2096`
5×	`pow-prod-up_binary64_2166`
4×	`sqrt-div_binary64_2115`
3×	`pow-prod-down_binary64_2167` `pow-sqr_binary64_2072`
2×	`cbrt-undiv_binary64_2130` `div-exp_binary64_2147` `frac-2neg_binary64_2110` `clear-num_binary64_2098`
1×	`sqrt-unprod_binary64_2118` `rem-square-sqrt_binary64_2111` `associate-r/_binary64_2043` `-commutative_binary64_2032` `associate-*l/_binary64_2044` `sum-log_binary64_2187` `prod-exp_binary64_2145` `pow2_binary64_2177` `pow-plus_binary64_2159` `+-commutative_binary64_2031` `frac-times_binary64_2109` `cbrt-unprod_binary64_2129`

Counts

4 → 186

Calls

4 calls:

33.0ms	(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series326.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

99.0ms	(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
97.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
96.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
34.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify97.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4951	4288
1	4951	4288

prune178.0ms (5.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	198	4	202

Merged error: 1.4b

Counts

202 → 4

Compiler

Compiled 4575 to 613 computations (86.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
1.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite85.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

137×	`*-un-lft-identity_binary64_2099`
102×	`times-frac_binary64_2105`
96×	`cbrt-prod_binary64_2127`
95×	`add-sqr-sqrt_binary64_2120`
71×	`add-cube-cbrt_binary64_2131`
30×	`distribute-lft-out_binary64_2052`
27×	`swap-sqr_binary64_2066`
21×	`associate-l_binary64_2042` `associate-r_binary64_2041`
14×	`associate-/r/_binary64_2047`
12×	`associate-/r*_binary64_2045`
11×	`pow1_binary64_2157`
10×	`add-cbrt-cube_binary64_2132`
9×	`unswap-sqr_binary64_2067` `associate-/l*_binary64_2046` `add-exp-log_binary64_2134`
7×	`flip3-+_binary64_2102` `div-inv_binary64_2096` `flip-+_binary64_2073`
6×	`pow1/3_binary64_2178`
4×	`cbrt-div_binary64_2128` `add-log-exp_binary64_2135`
3×	`cbrt-undiv_binary64_2130` `div-exp_binary64_2147` `frac-2neg_binary64_2110` `clear-num_binary64_2098`
2×	`pow-prod-down_binary64_2167` `pow-prod-up_binary64_2166` `pow-sqr_binary64_2072`
1×	`associate-r/_binary64_2043` `-commutative_binary64_2032` `associate-*l/_binary64_2044` `prod-exp_binary64_2145` `pow2_binary64_2177` `pow-plus_binary64_2159` `frac-times_binary64_2109` `cbrt-unprod_binary64_2129`

Counts

4 → 198

Calls

4 calls:

26.0ms	(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series661.0ms (21.6%)

Counts

4 → 12

Calls

4 calls:

386.0ms	(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
95.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
92.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
89.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify116.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5065	5948

prune221.0ms (7.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	210	4	214

Merged error: 1.4b

Counts

214 → 4

Compiler

Compiled 7823 to 898 computations (88.5% saved)

localize5.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Merged error: 1.4b

Counts

4 → 4

Compiler

Compiled 0 to 0 computations (0% saved)

regimes112.0ms (3.7%)

Compiler: Compiled 1020 to 636 computations (37.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms (0%)

sample652.0ms (21.3%)

Algorithm

1×

intervals

Results

272.0ms	8000×	body	128	valid
19.0ms	702×	body	128	overflowed

Compiler

Compiled 176 to 117 computations (33.5% saved)

Details

analyze77.0ms (2.5%)

sample21.0ms (0.7%)

simplify157.0ms (5.1%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite19.0ms (0.6%)

series121.0ms (4%)

simplify60.0ms (1.9%)

prune43.0ms (1.4%)

localize8.0ms (0.3%)

rewrite78.0ms (2.5%)

series326.0ms (10.6%)

simplify97.0ms (3.2%)

prune178.0ms (5.8%)

localize10.0ms (0.3%)

rewrite85.0ms (2.8%)

series661.0ms (21.6%)

simplify116.0ms (3.8%)

prune221.0ms (7.2%)

localize5.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune0.0ms (0%)

regimes112.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample652.0ms (21.3%)

Profiling