Details

Time bar (total: 7.6s)

analyze939.0ms (12.4%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0518991
044
144
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
49.1%50.7%0.2%9
49.5%50.3%0.2%10
49.7%50.1%0.2%11
50.2%49.6%0.2%12
60.5%39.3%0.2%13
60.6%37.9%1.4%14
Symmetry

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

sample38.0ms (0.5%)

Algorithm
intervals
Results
9.0ms256×body128valid
3.0ms95×body128invalid
Compiler

Compiled 19 to 23 computations (-21.1% saved)

simplify165.0ms (2.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (160.0ms)

IterNodesCost
0174413
1174413

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

rewrite50.0ms (0.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
13×*-un-lft-identity_binary64_1101
add-sqr-sqrt_binary64_1123
add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 times-frac_binary64_1107 associate-/l*_binary64_1046
distribute-lft-out--_binary64_1053
add-cube-cbrt_binary64_1136
div-exp_binary64_1152 cbrt-undiv_binary64_1135 difference-of-squares_binary64_1070 distribute-lft-out_binary64_1052 associate-/l/_binary64_1048
pow1_binary64_1162 prod-exp_binary64_1150 add-log-exp_binary64_1140 cbrt-unprod_binary64_1134 frac-2neg_binary64_1112 div-sub_binary64_1106 clear-num_binary64_1100 div-inv_binary64_1098 flip3--_binary64_1105 flip--_binary64_1076 associate-/r*_binary64_1045
Counts
1 → 30
Calls

1 calls:

21.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
Compiler

Compiled 505 to 201 computations (60.2% saved)

series316.0ms (4.2%)

Error
0.0b
Counts
1 → 21
Calls

1 calls:

299.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
Compiler

Compiled 672 to 537 computations (20.1% saved)

simplify65.0ms (0.9%)

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05057720

prune52.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New48351
Fresh000
Picked101
Done000
Total49352
Error
0b
Counts
52 → 3
Compiler

Compiled 634 to 269 computations (57.6% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 y x) (*.f64 t 2))
0.0b
(-.f64 (/.f64 (+.f64 y x) (*.f64 t 2)) (/.f64 z (*.f64 t 2)))

rewrite74.0ms (1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
17×*-un-lft-identity_binary64_1101
11×times-frac_binary64_1107
add-sqr-sqrt_binary64_1123
add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 cancel-sign-sub-inv_binary64_1067
add-cube-cbrt_binary64_1136
add-log-exp_binary64_1140 div-inv_binary64_1098 associate-/l*_binary64_1046
distribute-lft-out--_binary64_1053 distribute-lft-out_binary64_1052
pow1_binary64_1162 div-exp_binary64_1152 cbrt-undiv_binary64_1135 associate-/l/_binary64_1048
diff-log_binary64_1193 frac-sub_binary64_1110 sub-div_binary64_1108 flip3--_binary64_1105 sub-neg_binary64_1094 flip--_binary64_1076 difference-of-squares_binary64_1070 distribute-rgt-out--_binary64_1055 prod-exp_binary64_1150 cbrt-unprod_binary64_1134 frac-2neg_binary64_1112 clear-num_binary64_1100 flip3-+_binary64_1104 flip-+_binary64_1075 associate-/r*_binary64_1045
Counts
2 → 50
Calls

2 calls:

13.0ms
(-.f64 (/.f64 (+.f64 y x) (*.f64 t 2)) (/.f64 z (*.f64 t 2)))
7.0ms
(/.f64 (+.f64 y x) (*.f64 t 2))
Compiler

Compiled 1048 to 600 computations (42.7% saved)

series651.0ms (8.6%)

Error
0b
Counts
2 → 36
Calls

2 calls:

473.0ms
(-.f64 (/.f64 (+.f64 y x) (*.f64 t 2)) (/.f64 z (*.f64 t 2)))
153.0ms
(/.f64 (+.f64 y x) (*.f64 t 2))
Compiler

Compiled 1275 to 1006 computations (21.1% saved)

simplify72.0ms (1%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050621132

prune87.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New85186
Fresh112
Picked011
Done000
Total86389
Error
0b
Counts
89 → 3
Compiler

Compiled 1235 to 594 computations (51.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 t (-.f64 (+.f64 x y) z))
0.3b
(/.f64 1/2 (/.f64 t (-.f64 (+.f64 x y) z)))

rewrite189.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
162×times-frac_binary64_1107
158×*-un-lft-identity_binary64_1101
110×add-sqr-sqrt_binary64_1123
78×add-cube-cbrt_binary64_1136
32×distribute-lft-out--_binary64_1053
30×associate-/r*_binary64_1045
16×difference-of-squares_binary64_1070 distribute-lft-out_binary64_1052
11×associate-/r/_binary64_1047
add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
div-inv_binary64_1098 associate-/l*_binary64_1046
flip3--_binary64_1105 flip--_binary64_1076
div-exp_binary64_1152 cbrt-undiv_binary64_1135
pow1_binary64_1162 add-log-exp_binary64_1140 frac-2neg_binary64_1112 clear-num_binary64_1100
Counts
2 → 155
Calls

2 calls:

13.0ms
(/.f64 1/2 (/.f64 t (-.f64 (+.f64 x y) z)))
9.0ms
(/.f64 t (-.f64 (+.f64 x y) z))
Compiler

Compiled 3248 to 1074 computations (66.9% saved)

series506.0ms (6.7%)

Error
0b
Counts
2 → 42
Calls

2 calls:

271.0ms
(/.f64 1/2 (/.f64 t (-.f64 (+.f64 x y) z)))
195.0ms
(/.f64 t (-.f64 (+.f64 x y) z))
Compiler

Compiled 1628 to 1218 computations (25.2% saved)

simplify142.0ms (1.9%)

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
050694204

prune141.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1961197
Fresh101
Picked011
Done011
Total1973200
Error
0b
Counts
200 → 3
Compiler

Compiled 3364 to 1056 computations (68.6% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (-.f64 (+.f64 x y) z))
0.3b
(/.f64 (/.f64 1/2 t) (/.f64 1 (-.f64 (+.f64 x y) z)))

rewrite892.0ms (11.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
807×times-frac_binary64_1107
558×*-un-lft-identity_binary64_1101
420×add-sqr-sqrt_binary64_1123
328×add-cube-cbrt_binary64_1136
92×distribute-lft-out--_binary64_1053
46×difference-of-squares_binary64_1070 distribute-lft-out_binary64_1052
41×div-inv_binary64_1098
31×associate-/r/_binary64_1047
30×associate-/r*_binary64_1045
28×add-exp-log_binary64_1139
18×div-exp_binary64_1152
16×add-cbrt-cube_binary64_1137 associate-/l*_binary64_1046
15×flip3--_binary64_1105 flip--_binary64_1076
cbrt-undiv_binary64_1135
pow1_binary64_1162 1-exp_binary64_1145 rec-exp_binary64_1151
add-log-exp_binary64_1140 frac-2neg_binary64_1112 clear-num_binary64_1100
associate-/l/_binary64_1048 inv-pow_binary64_1186 pow-flip_binary64_1175
Counts
2 → 418
Calls

2 calls:

28.0ms
(/.f64 (/.f64 1/2 t) (/.f64 1 (-.f64 (+.f64 x y) z)))
9.0ms
(/.f64 1 (-.f64 (+.f64 x y) z))
Compiler

Compiled 11314 to 5952 computations (47.4% saved)

series458.0ms (6%)

Error
0b
Counts
2 → 40
Calls

2 calls:

282.0ms
(/.f64 (/.f64 1/2 t) (/.f64 1 (-.f64 (+.f64 x y) z)))
139.0ms
(/.f64 1 (-.f64 (+.f64 x y) z))
Compiler

Compiled 1561 to 1238 computations (20.7% saved)

simplify235.0ms (3.1%)

Algorithm
egg-herbie
Counts
458 → 458
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
0496813705
1496813705

prune623.0ms (8.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New4580458
Fresh000
Picked011
Done022
Total4583461
Error
0b
Counts
461 → 3
Compiler

Compiled 9935 to 4519 computations (54.5% saved)

regimes507.0ms (6.7%)

Accuracy

Total 0.0b remaining (95.3%)

Threshold costs 0.0b (95.3%)

Compiler

Compiled 3354 to 3049 computations (9.1% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05125
15125
Remove

(sort x y)

Compiler

Compiled 34 to 30 computations (11.8% saved)

end0.0ms (0%)

sample1.3s (17.6%)

Algorithm
intervals
Results
312.0ms8000×body128valid
103.0ms2693×body128invalid
Compiler

Compiled 382 to 350 computations (8.4% saved)

Profiling

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