Details

Time bar (total: 2.7s)

analyze5.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample19.0ms (0.7%)

Algorithm
1×intervals
Results
13.0ms256×body128valid
0.0ms1×body128nan
Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify276.0ms (10.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
0557420

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 26 to 20 computations (23.1% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.0b
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

rewrite61.0ms (2.2%)

Algorithm
1×rewrite-expression-head
Rules
41×*-un-lft-identity_binary64_1111
26×times-frac_binary64_1117
17×add-sqr-sqrt_binary64_1133
16×distribute-lft-out_binary64_1062
15×log-prod_binary64_1197
12×div-inv_binary64_1108
11×add-cube-cbrt_binary64_1146
6×distribute-rgt-out_binary64_1064 sqrt-prod_binary64_1127
4×add-log-exp_binary64_1150
3×log-div_binary64_1198 pow1_binary64_1172 add-exp-log_binary64_1149
2×add-cbrt-cube_binary64_1147 flip-+_binary64_1085 flip3-+_binary64_1114 frac-add_binary64_1119 distribute-rgt1-in_binary64_1067
1×+-commutative_binary64_1041 log-pow_binary64_1200 sum-log_binary64_1202 rem-log-exp_binary64_1152
Counts
2 → 51
Calls

2 calls:

27.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
27.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

series156.0ms (5.7%)

Counts
2 → 6
Calls

2 calls:

98.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
58.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

simplify71.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049171387
149171387

prune78.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh000
Picked011
Done000
Total56258

Merged error: 0b

Counts
58 → 2
Compiler

Compiled 1433 to 942 computations (34.3% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.5b
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.5b
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.5b
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))

rewrite198.0ms (7.3%)

Algorithm
1×rewrite-expression-head
Rules
166×*-un-lft-identity_binary64_1111
125×cbrt-prod_binary64_1142
91×times-frac_binary64_1117
72×add-sqr-sqrt_binary64_1133
64×distribute-lft-out_binary64_1062
52×div-inv_binary64_1108
43×add-cube-cbrt_binary64_1146
33×cbrt-div_binary64_1143
26×swap-sqr_binary64_1078
25×distribute-rgt-out_binary64_1064
21×sqrt-prod_binary64_1127
18×associate-*r*_binary64_1051 associate-*l*_binary64_1052
11×flip-+_binary64_1085 flip3-+_binary64_1114 frac-add_binary64_1119 pow1_binary64_1172
9×pow1/3_binary64_1193 frac-times_binary64_1121
7×distribute-rgt1-in_binary64_1067
6×add-exp-log_binary64_1149
4×add-cbrt-cube_binary64_1147 unswap-sqr_binary64_1079 add-log-exp_binary64_1150
3×associate-*l/_binary64_1054 associate-*r/_binary64_1053
2×pow-prod-up_binary64_1181 pow-sqr_binary64_1084 pow-prod-down_binary64_1182
1×*-commutative_binary64_1042 prod-exp_binary64_1160 cbrt-unprod_binary64_1144 pow-plus_binary64_1174 pow2_binary64_1192
Counts
4 → 177
Calls

4 calls:

74.0ms
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
31.0ms
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
27.0ms
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
27.0ms
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

series548.0ms (20.1%)

Counts
4 → 12
Calls

4 calls:

169.0ms
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
129.0ms
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
126.0ms
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
123.0ms
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

simplify143.0ms (5.3%)

Algorithm
1×egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
048706175
148706175

prune487.0ms (17.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1890189
Fresh000
Picked011
Done011
Total1892191

Merged error: 0b

Counts
191 → 2
Compiler

Compiled 8988 to 5932 computations (34% saved)

regimes36.0ms (1.3%)

Compiler

Compiled 217 to 157 computations (27.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02920
12920

end0.0ms (0%)

sample621.0ms (22.8%)

Algorithm
1×intervals
Results
424.0ms8000×body128valid
0.0ms4×body128nan
Compiler

Compiled 82 to 61 computations (25.6% saved)

Profiling

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