Details

Time bar (total: 2.6s)

analyze5.0ms (0.2%)

Algorithm
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)

sample18.0ms (0.7%)

Algorithm
intervals
Results
13.0ms256×body128valid
Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify576.0ms (22.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (288.0ms)

IterNodesCost
0754420

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)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite28.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity_binary64_1101
13×times-frac_binary64_1107
12×add-sqr-sqrt_binary64_1123
distribute-lft-out_binary64_1052 sqrt-prod_binary64_1117
add-cube-cbrt_binary64_1136
div-inv_binary64_1098
add-log-exp_binary64_1140
distribute-rgt-out_binary64_1054 pow1_binary64_1162
difference-of-squares_binary64_1070 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 sqrt-div_binary64_1118
rem-sqrt-square_binary64_1114 sum-log_binary64_1192 sqrt-pow1_binary64_1119 flip--_binary64_1076 flip3--_binary64_1105 flip3-+_binary64_1104 +-commutative_binary64_1031 flip-+_binary64_1075 frac-add_binary64_1109 distribute-rgt1-in_binary64_1057 pow1/2_binary64_1181
Counts
2 → 41
Calls

2 calls:

22.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

series50.0ms (1.9%)

Counts
2 → 6
Calls

2 calls:

27.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
22.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

simplify64.0ms (2.5%)

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05012855

prune50.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New46147
Fresh000
Picked011
Done000
Total46248

Merged error: 0b

Counts
48 → 2
Compiler

Compiled 924 to 616 computations (33.3% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.4b
(*.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))))
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)))

rewrite160.0ms (6.2%)

Algorithm
rewrite-expression-head
Rules
166×*-un-lft-identity_binary64_1101
125×cbrt-prod_binary64_1132
91×times-frac_binary64_1107
72×add-sqr-sqrt_binary64_1123
64×distribute-lft-out_binary64_1052
52×div-inv_binary64_1098
43×add-cube-cbrt_binary64_1136
33×cbrt-div_binary64_1133
26×swap-sqr_binary64_1068
25×distribute-rgt-out_binary64_1054
21×sqrt-prod_binary64_1117
18×associate-*r*_binary64_1041 associate-*l*_binary64_1042
11×pow1_binary64_1162 flip3-+_binary64_1104 flip-+_binary64_1075 frac-add_binary64_1109
pow1/3_binary64_1183 frac-times_binary64_1111
distribute-rgt1-in_binary64_1057
add-exp-log_binary64_1139
add-log-exp_binary64_1140 add-cbrt-cube_binary64_1137 unswap-sqr_binary64_1069
associate-*r/_binary64_1043 associate-*l/_binary64_1044
pow-prod-up_binary64_1171 pow-sqr_binary64_1074 pow-prod-down_binary64_1172
pow-plus_binary64_1164 *-commutative_binary64_1032 cbrt-unprod_binary64_1134 prod-exp_binary64_1150 pow2_binary64_1182
Counts
4 → 177
Calls

4 calls:

60.0ms
(*.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))))
25.0ms
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
22.0ms
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
22.0ms
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

series307.0ms (11.9%)

Counts
4 → 12
Calls

4 calls:

83.0ms
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
80.0ms
(*.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))))
73.0ms
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
71.0ms
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

simplify128.0ms (4.9%)

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
048636248
148636248

prune511.0ms (19.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1890189
Fresh000
Picked011
Done011
Total1892191

Merged error: 0b

Counts
191 → 2
Compiler

Compiled 9030 to 5888 computations (34.8% saved)

regimes39.0ms (1.5%)

Compiler

Compiled 262 to 184 computations (29.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02920
12920

end0.0ms (0%)

sample627.0ms (24.2%)

Algorithm
intervals
Results
421.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 97 to 70 computations (27.8% saved)

Profiling

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