Details

Time bar (total: 1.7s)

analyze36.0ms (2.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%6.2%93.8%0
0%6.2%93.8%1
0%6.2%93.8%2
1.6%3.1%95.3%3
1.6%3.1%95.3%4
2.3%1.6%96.1%5
2.3%1.6%96.1%6
2.7%0.8%96.5%7
2.7%0.8%96.5%8
2.9%0.4%96.7%9
2.9%0.4%96.7%10
3%0.2%96.8%11
3%0.2%96.8%12
3.1%0.1%96.8%13
3.1%0.1%96.8%14
Compiler

Compiled 18 to 11 computations (38.9% saved)

sample21.0ms (1.3%)

Algorithm
intervals
Results
9.0ms256×body128valid
5.0ms256×pre128true
0.0mspre128false
Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify164.0ms (9.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
0483617
1483617

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.8b

Counts
2 → 2
Compiler

Compiled 35 to 26 computations (25.7% saved)

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))))
32.8b
(/.f64 (*.f64 b b) (*.f64 a a))

rewrite11.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
14×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
add-sqr-sqrt_binary64_1123 cbrt-unprod_binary64_1134 prod-exp_binary64_1150 div-exp_binary64_1152 cbrt-undiv_binary64_1135
*-un-lft-identity_binary64_1101 pow1_binary64_1162 sqrt-prod_binary64_1117 add-cube-cbrt_binary64_1136
add-log-exp_binary64_1140
rem-sqrt-square_binary64_1114 frac-2neg_binary64_1112 sqrt-pow1_binary64_1119 clear-num_binary64_1100 div-inv_binary64_1098 associate-/l*_binary64_1046 times-frac_binary64_1107 associate-/r*_binary64_1045 pow1/2_binary64_1181
Counts
2 → 34
Calls

2 calls:

7.0ms
(/.f64 (*.f64 b b) (*.f64 a a))
1.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))))

series50.0ms (2.9%)

Counts
2 → 6
Calls

2 calls:

30.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))))
20.0ms
(/.f64 (*.f64 b b) (*.f64 a a))

simplify89.0ms (5.2%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04903452
14903452

prune40.0ms (2.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New38240
Fresh101
Picked101
Done000
Total40242

Merged error: 0b

Counts
42 → 2
Compiler

Compiled 525 to 342 computations (34.9% saved)

localize10.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
0.4b
(pow.f64 (/.f64 b a) 2)
5.9b
(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

rewrite19.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
26×unpow-prod-down_binary64_1180
22×add-sqr-sqrt_binary64_1123
21×*-un-lft-identity_binary64_1101 add-cube-cbrt_binary64_1136
19×log-pow_binary64_1190
18×exp-prod_binary64_1153 times-frac_binary64_1107
add-exp-log_binary64_1139 pow1_binary64_1162
add-log-exp_binary64_1140 pow-unpow_binary64_1178 sqrt-prod_binary64_1117 add-cbrt-cube_binary64_1137 log-prod_binary64_1187
pow-exp_binary64_1169 div-inv_binary64_1098 sqr-pow_binary64_1073 unpow2_binary64_1166
rem-sqrt-square_binary64_1114 pow-pow_binary64_1173 rem-log-exp_binary64_1142 sqrt-pow1_binary64_1119 div-exp_binary64_1152 pow-to-exp_binary64_1170 pow1/2_binary64_1181
Counts
3 → 72
Calls

3 calls:

7.0ms
(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
5.0ms
(pow.f64 (/.f64 b a) 2)
1.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))

series82.0ms (4.8%)

Counts
3 → 9
Calls

3 calls:

39.0ms
(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
29.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
14.0ms
(pow.f64 (/.f64 b a) 2)

simplify56.0ms (3.3%)

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05039858

prune73.0ms (4.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New81081
Fresh011
Picked011
Done000
Total81283

Merged error: 0b

Counts
83 → 2
Compiler

Compiled 1183 to 786 computations (33.6% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
0.4b
(pow.f64 (/.f64 b a) 2)

rewrite9.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
13×unpow-prod-down_binary64_1180
12×add-sqr-sqrt_binary64_1123
11×*-un-lft-identity_binary64_1101 add-cube-cbrt_binary64_1136
times-frac_binary64_1107
add-exp-log_binary64_1139
pow1_binary64_1162
pow-unpow_binary64_1178 sqrt-prod_binary64_1117
pow-exp_binary64_1169 add-log-exp_binary64_1140 add-cbrt-cube_binary64_1137
rem-sqrt-square_binary64_1114 pow-pow_binary64_1173 sqrt-pow1_binary64_1119 div-inv_binary64_1098 div-exp_binary64_1152 sqr-pow_binary64_1073 pow-to-exp_binary64_1170 unpow2_binary64_1166 pow1/2_binary64_1181
Counts
2 → 42
Calls

2 calls:

5.0ms
(pow.f64 (/.f64 b a) 2)
1.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))

series47.0ms (2.7%)

Counts
2 → 6
Calls

2 calls:

29.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
17.0ms
(pow.f64 (/.f64 b a) 2)

simplify50.0ms (2.9%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05242588

prune38.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New48048
Fresh000
Picked011
Done011
Total48250

Merged error: 0b

Counts
50 → 2
Compiler

Compiled 630 to 411 computations (34.8% saved)

regimes124.0ms (7.3%)

Compiler

Compiled 774 to 664 computations (14.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02218
12218

end0.0ms (0%)

sample766.0ms (44.9%)

Algorithm
intervals
Results
288.0ms8000×body128valid
158.0ms8000×pre128true
2.0ms110×pre128false
Compiler

Compiled 99 to 89 computations (10.1% saved)

Profiling

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