Details

Time bar (total: 2.1s)

analyze298.0ms (14.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
21.8%78%0.1%7
26.5%73.3%0.1%8
36.7%63.2%0.1%9
41.3%49.9%8.7%10
47.2%43.3%9.5%11
54.4%35.5%10.1%12
57.9%27.4%14.7%13
61.7%23.2%15.1%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample15.0ms (0.7%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms18×body128invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify161.0ms (7.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
09810
19810

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 14 to 14 computations (0% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (+.f64 x y) (+.f64 z 1))

rewrite13.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_1088
flip-+_binary64_1062 flip3-+_binary64_1091
add-sqr-sqrt_binary64_1109
associate-*r*_binary64_1030 frac-times_binary64_1098 associate-*l*_binary64_1031
add-cbrt-cube_binary64_1121 add-exp-log_binary64_1123 pow1_binary64_1146 add-cube-cbrt_binary64_1120
associate-*l/_binary64_1033 distribute-lft-out_binary64_1041 associate-*r/_binary64_1032
*-commutative_binary64_1021 unswap-sqr_binary64_1056 cbrt-unprod_binary64_1118 distribute-rgt-in_binary64_1040 pow-prod-down_binary64_1156 prod-exp_binary64_1134 add-log-exp_binary64_1124 distribute-lft-in_binary64_1039
Counts
1 → 30
Calls

1 calls:

11.0ms
(*.f64 (+.f64 x y) (+.f64 z 1))

series53.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

53.0ms
(*.f64 (+.f64 x y) (+.f64 z 1))

simplify70.0ms (3.4%)

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05029502

prune28.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh000
Picked011
Done000
Total31334

Merged error: 0.0b

Counts
34 → 3
Compiler

Compiled 476 to 238 computations (50% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (+.f64 x y) z)
0.0b
(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))

rewrite23.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_1124
add-sqr-sqrt_binary64_1109 associate-*l/_binary64_1033 flip-+_binary64_1062 flip3-+_binary64_1091 *-un-lft-identity_binary64_1088
frac-add_binary64_1096 add-cbrt-cube_binary64_1121 add-exp-log_binary64_1123 associate-*l*_binary64_1031 pow1_binary64_1146 add-cube-cbrt_binary64_1120
associate-*r*_binary64_1030 sum-log_binary64_1176
*-commutative_binary64_1021 unswap-sqr_binary64_1056 cbrt-unprod_binary64_1118 associate-+r+_binary64_1022 +-commutative_binary64_1020 pow-prod-down_binary64_1156 prod-exp_binary64_1134 distribute-lft-out_binary64_1041
Counts
2 → 38
Calls

2 calls:

10.0ms
(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))
10.0ms
(*.f64 (+.f64 x y) z)

series107.0ms (5.2%)

Counts
2 → 6
Calls

2 calls:

60.0ms
(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))
47.0ms
(*.f64 (+.f64 x y) z)

simplify52.0ms (2.5%)

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05043674

prune32.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New44044
Fresh011
Picked011
Done011
Total44347

Merged error: 0.0b

Counts
47 → 3
Compiler

Compiled 686 to 219 computations (68.1% saved)

localize10.0ms (0.5%)

Local error

Found 3 expressions with local error:

1.7b
(*.f64 (+.f64 z 1) (-.f64 (*.f64 x x) (*.f64 y y)))
2.3b
(-.f64 (*.f64 x x) (*.f64 y y))
23.6b
(/.f64 (*.f64 (+.f64 z 1) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))

rewrite36.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_1109 *-un-lft-identity_binary64_1088
10×add-cbrt-cube_binary64_1121 add-exp-log_binary64_1123
flip3--_binary64_1092 frac-times_binary64_1098 associate-/l/_binary64_1037 flip--_binary64_1063
add-cube-cbrt_binary64_1120
flip-+_binary64_1062 flip3-+_binary64_1091
associate-/r*_binary64_1034 times-frac_binary64_1094 add-log-exp_binary64_1124 pow1_binary64_1146
associate-*r*_binary64_1030 associate-*l/_binary64_1033 associate-*l*_binary64_1031 associate-*r/_binary64_1032 difference-of-squares_binary64_1057
sub-neg_binary64_1081
cbrt-unprod_binary64_1118 associate-/r/_binary64_1036 div-exp_binary64_1136 cbrt-undiv_binary64_1119 prod-exp_binary64_1134 distribute-lft-out--_binary64_1042
*-commutative_binary64_1021 clear-num_binary64_1087 frac-2neg_binary64_1099 unswap-sqr_binary64_1056 distribute-rgt-in_binary64_1040 diff-log_binary64_1177 pow-prod-down_binary64_1156 distribute-lft-out_binary64_1041 associate-/l*_binary64_1035 distribute-lft-in_binary64_1039 div-inv_binary64_1085
Counts
3 → 77
Calls

3 calls:

15.0ms
(/.f64 (*.f64 (+.f64 z 1) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))
10.0ms
(*.f64 (+.f64 z 1) (-.f64 (*.f64 x x) (*.f64 y y)))
4.0ms
(-.f64 (*.f64 x x) (*.f64 y y))

series275.0ms (13.3%)

Counts
3 → 9
Calls

3 calls:

146.0ms
(/.f64 (*.f64 (+.f64 z 1) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))
85.0ms
(*.f64 (+.f64 z 1) (-.f64 (*.f64 x x) (*.f64 y y)))
43.0ms
(-.f64 (*.f64 x x) (*.f64 y y))

simplify68.0ms (3.3%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050551647

prune74.0ms (3.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New86086
Fresh000
Picked011
Done022
Total86389

Merged error: 0.0b

Counts
89 → 3
Compiler

Compiled 1811 to 703 computations (61.2% saved)

regimes124.0ms (6%)

Compiler

Compiled 1028 to 806 computations (21.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01210
11210

end0.0ms (0%)

sample611.0ms (29.6%)

Algorithm
intervals
Results
199.0ms7998×body128valid
17.0ms591×body128invalid
0.0msbody1024valid
Compiler

Compiled 181 to 144 computations (20.4% saved)

Profiling

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