Details

Time bar (total: 2.6s)

analyze70.0ms (2.7%)

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 (0.8%)

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

Compiled 31 to 21 computations (32.3% saved)

simplify292.0ms (11.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (104.0ms)

IterNodesCost
0485317
1485317

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 15.0b

Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize16.0ms (0.6%)

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))

rewrite22.0ms (0.8%)

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:

14.0ms
(/.f64 (*.f64 b b) (*.f64 a a))
3.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))))

series141.0ms (5.4%)

Counts
2 → 6
Calls

2 calls:

77.0ms
(/.f64 (*.f64 b b) (*.f64 a a))
64.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))))

simplify111.0ms (4.2%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (98.0ms)

IterNodesCost
05171452

prune58.0ms (2.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New38240
Fresh000
Picked101
Done000
Total39241

Merged error: 0b

Counts
41 → 2
Compiler

Compiled 526 to 343 computations (34.8% saved)

localize9.0ms (0.3%)

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)
7.0b
(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

rewrite28.0ms (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:

10.0ms
(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))))))

series168.0ms (6.4%)

Counts
3 → 9
Calls

3 calls:

80.0ms
(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
63.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
25.0ms
(pow.f64 (/.f64 b a) 2)

simplify72.0ms (2.7%)

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05264858

prune89.0ms (3.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New81081
Fresh011
Picked011
Done000
Total81283

Merged error: 0b

Counts
83 → 2
Compiler

Compiled 1184 to 787 computations (33.5% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))
0.4b
(pow.f64 (/.f64 b a) 6)
28.2b
(cbrt.f64 (pow.f64 (/.f64 b a) 6))

rewrite17.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
26×unpow-prod-down_binary64_1180
21×add-sqr-sqrt_binary64_1123
20×*-un-lft-identity_binary64_1101 add-cube-cbrt_binary64_1136
18×times-frac_binary64_1107
17×cbrt-prod_binary64_1132
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
pow-exp_binary64_1169 div-inv_binary64_1098 sqr-pow_binary64_1073
rem-sqrt-square_binary64_1114 pow1/3_binary64_1183 pow-pow_binary64_1173 sqrt-pow1_binary64_1119 div-exp_binary64_1152 pow-to-exp_binary64_1170 pow1/2_binary64_1181
Counts
3 → 66
Calls

3 calls:

5.0ms
(cbrt.f64 (pow.f64 (/.f64 b a) 6))
5.0ms
(pow.f64 (/.f64 b a) 6)
1.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))

series196.0ms (7.4%)

Counts
3 → 9
Calls

3 calls:

84.0ms
(pow.f64 (/.f64 b a) 6)
67.0ms
(sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))
45.0ms
(cbrt.f64 (pow.f64 (/.f64 b a) 6))

simplify71.0ms (2.7%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04908948
14908948

prune66.0ms (2.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh000
Picked011
Done011
Total75277

Merged error: 0b

Counts
77 → 2
Compiler

Compiled 1057 to 732 computations (30.7% saved)

regimes145.0ms (5.5%)

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
02116
12116

end0.0ms (0%)

sample1.0s (38.9%)

Algorithm
intervals
Results
387.0ms8000×body128valid
214.0ms8000×pre128true
3.0ms120×pre128false
Compiler

Compiled 98 to 88 computations (10.2% saved)

Profiling

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