Details

Time bar (total: 3.4s)

analyze622.0ms (18%)

Algorithm
1×search
2×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
Compiler

Compiled 10 to 10 computations (0% saved)

sample26.0ms (0.7%)

Algorithm
1×intervals
Results
8.0ms256×body128valid
3.0ms85×body128invalid
Compiler

Compiled 19 to 23 computations (-21.1% saved)

simplify154.0ms (4.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (149.0ms)

IterNodesCost
0174413
1174413

prune2.0ms (0.1%)

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 (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.3%)

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

1 calls:

9.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

series40.0ms (1.1%)

Counts
1 → 3
Calls

1 calls:

39.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

simplify50.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05087513

prune32.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New29433
Fresh000
Picked011
Done000
Total29534
Error
0b
Counts
34 → 5
Compiler

Compiled 530 to 238 computations (55.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_1123
14×*-un-lft-identity_binary64_1101
13×associate-*r*_binary64_1041
10×times-frac_binary64_1107
9×add-cube-cbrt_binary64_1136
6×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 associate-*l*_binary64_1042
3×pow1_binary64_1162
2×cbrt-unprod_binary64_1134 frac-times_binary64_1111 prod-exp_binary64_1150 distribute-lft-out--_binary64_1053 flip--_binary64_1076 flip3--_binary64_1105 unswap-sqr_binary64_1069 associate-*l/_binary64_1044
1×*-commutative_binary64_1032 difference-of-squares_binary64_1070 add-log-exp_binary64_1140 distribute-lft-out_binary64_1052 associate-*r/_binary64_1043 div-inv_binary64_1098 pow-prod-down_binary64_1172 div-exp_binary64_1152 cbrt-undiv_binary64_1135
Counts
1 → 39
Calls

1 calls:

12.0ms
(*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))

series40.0ms (1.2%)

Counts
1 → 3
Calls

1 calls:

40.0ms
(*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))

simplify46.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05236697

prune33.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New42042
Fresh033
Picked011
Done011
Total42547
Error
0b
Counts
47 → 5
Compiler

Compiled 705 to 318 computations (54.9% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite107.0ms (3.1%)

Algorithm
1×rewrite-expression-head
Rules
831×times-frac_binary64_1107
589×*-un-lft-identity_binary64_1101
445×add-sqr-sqrt_binary64_1123
349×add-cube-cbrt_binary64_1136
96×distribute-lft-out--_binary64_1053
93×associate-/r*_binary64_1045
48×difference-of-squares_binary64_1070 distribute-lft-out_binary64_1052
28×add-exp-log_binary64_1139
22×div-inv_binary64_1098
18×div-exp_binary64_1152
16×add-cbrt-cube_binary64_1137
9×cbrt-undiv_binary64_1135
6×associate-/l*_binary64_1046 associate-/r/_binary64_1047
3×1-exp_binary64_1145 pow1_binary64_1162 rec-exp_binary64_1151
2×add-log-exp_binary64_1140 frac-2neg_binary64_1112 clear-num_binary64_1100
1×inv-pow_binary64_1186 pow-flip_binary64_1175
Counts
2 → 418
Calls

2 calls:

27.0ms
(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2)))
11.0ms
(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2))

series107.0ms (3.1%)

Counts
2 → 6
Calls

2 calls:

61.0ms
(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2))
46.0ms
(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2)))

simplify157.0ms (4.5%)

Algorithm
1×egg-herbie
Counts
424 → 424
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
0509512305

prune475.0ms (13.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New4231424
Fresh202
Picked011
Done202
Total4272429
Error
0b
Counts
429 → 2
Compiler

Compiled 9545 to 4205 computations (55.9% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite40.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
36×*-un-lft-identity_binary64_1101
25×times-frac_binary64_1107
19×add-sqr-sqrt_binary64_1123
14×add-cube-cbrt_binary64_1136
13×cancel-sign-sub-inv_binary64_1067
9×add-log-exp_binary64_1140
8×distribute-lft-out_binary64_1052
5×distribute-lft-out--_binary64_1053
3×div-inv_binary64_1098 frac-sub_binary64_1110
2×diff-log_binary64_1193 difference-of-squares_binary64_1070 sum-log_binary64_1192 add-exp-log_binary64_1139 pow1_binary64_1162 flip3-+_binary64_1104 add-cbrt-cube_binary64_1137 flip-+_binary64_1075 frac-add_binary64_1109
1×distribute-rgt-out_binary64_1054 sub-neg_binary64_1094 associate--l+_binary64_1038 flip--_binary64_1076 flip3--_binary64_1105 +-commutative_binary64_1031
Counts
2 → 53
Calls

2 calls:

23.0ms
(-.f64 (+.f64 (/.f64 y t) (/.f64 x t)) (/.f64 z t))
12.0ms
(+.f64 (/.f64 y t) (/.f64 x t))

series47.0ms (1.4%)

Counts
2 → 6
Calls

2 calls:

28.0ms
(-.f64 (+.f64 (/.f64 y t) (/.f64 x t)) (/.f64 z t))
19.0ms
(+.f64 (/.f64 y t) (/.f64 x t))

simplify71.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049241032
149241032

prune41.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh000
Picked011
Done011
Total59261
Error
0b
Counts
61 → 2
Compiler

Compiled 1125 to 286 computations (74.6% saved)

regimes341.0ms (9.9%)

Accuracy

Total 0.1b remaining (99.6%)

Threshold costs 0.1b (99.6%)

Compiler

Compiled 3099 to 2519 computations (18.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03119
13119
Compiler

Compiled 26 to 22 computations (15.4% saved)

end0.0ms (0%)

sample953.0ms (27.7%)

Algorithm
1×intervals
Results
258.0ms8000×body128valid
88.0ms2677×body128invalid
Compiler

Compiled 316 to 257 computations (18.7% saved)

Profiling

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