Details

Time bar (total: 6.3s)

analyze436.0ms (6.9%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14
Compiler

Compiled 30 to 24 computations (20% saved)

sample50.0ms (0.8%)

Algorithm
1×intervals
Results
14.0ms121×body256valid
10.0ms276×pre128true
8.0ms45×body512valid
5.0ms90×body128valid
1.0ms20×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify495.0ms (7.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (381.0ms)

IterNodesCost
0180224
1180224

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
51.9b
Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.2b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
0.2b
(*.f64 (*.f64 3 a) c)
25.5b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite59.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_1123
14×*-un-lft-identity_binary64_1101 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
9×pow1_binary64_1162
8×add-log-exp_binary64_1140 add-cube-cbrt_binary64_1136
6×difference-of-squares_binary64_1070 associate-/l*_binary64_1046 times-frac_binary64_1107
4×cbrt-unprod_binary64_1134 prod-exp_binary64_1150 cancel-sign-sub-inv_binary64_1067
3×distribute-lft-out--_binary64_1053 flip--_binary64_1076 flip3--_binary64_1105 sqrt-prod_binary64_1117 associate-*r*_binary64_1041 pow-prod-down_binary64_1172
2×diff-log_binary64_1193 sub-neg_binary64_1094 associate-/l/_binary64_1048 div-exp_binary64_1152 cbrt-undiv_binary64_1135
1×*-commutative_binary64_1032 frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098 associate-*l*_binary64_1042 associate-/r*_binary64_1045 div-sub_binary64_1106
Counts
4 → 77
Calls

4 calls:

17.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
16.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
11.0ms
(*.f64 (*.f64 3 a) c)
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series289.0ms (4.6%)

Counts
4 → 12
Calls

4 calls:

145.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
80.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
47.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
17.0ms
(*.f64 (*.f64 3 a) c)

simplify88.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
051801823

prune262.0ms (4.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New741589
Fresh000
Picked101
Done000
Total751590
Error
2.7b
Counts
90 → 15
Compiler

Compiled 2381 to 1455 computations (38.9% saved)

localize8.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify12.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune35.0ms (0.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01414
Picked011
Done000
Total01515
Error
2.7b
Counts
15 → 15
Compiler

Compiled 400 to 288 computations (28% saved)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 (*.f64 a c) b)
0.3b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
0.3b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite53.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
49×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
17×cbrt-unprod_binary64_1134 prod-exp_binary64_1150
16×div-exp_binary64_1152 cbrt-undiv_binary64_1135
10×add-sqr-sqrt_binary64_1123
8×*-un-lft-identity_binary64_1101 add-cube-cbrt_binary64_1136
7×times-frac_binary64_1107 associate-*r*_binary64_1041
5×pow1_binary64_1162
4×associate-/r*_binary64_1045
3×add-log-exp_binary64_1140 div-inv_binary64_1098 associate-*l*_binary64_1042
2×frac-2neg_binary64_1112 clear-num_binary64_1100 associate-*r/_binary64_1043 associate-/l*_binary64_1046
1×*-commutative_binary64_1032 associate-/l/_binary64_1048 pow-prod-down_binary64_1172 unswap-sqr_binary64_1069
Counts
3 → 78
Calls

3 calls:

16.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
13.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
8.0ms
(/.f64 (*.f64 a c) b)

series81.0ms (1.3%)

Counts
3 → 9
Calls

3 calls:

34.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
26.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
21.0ms
(/.f64 (*.f64 a c) b)

simplify52.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04962874
14962874

prune101.0ms (1.6%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New771087
Fresh01313
Picked101
Done011
Total7824102
Error
2.7b
Counts
102 → 24
Compiler

Compiled 1619 to 947 computations (41.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 (*.f64 a c) b)
0.3b
(/.f64 (*.f64 a c) b)
0.3b
(*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b)))
0.3b
(/.f64 (*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b))) (*.f64 3 a))

rewrite66.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
40×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
14×cbrt-unprod_binary64_1134 prod-exp_binary64_1150
11×add-sqr-sqrt_binary64_1123 *-un-lft-identity_binary64_1101 add-cube-cbrt_binary64_1136
10×times-frac_binary64_1107 associate-*r*_binary64_1041 div-exp_binary64_1152 cbrt-undiv_binary64_1135
9×pow1_binary64_1162
8×sqrt-div_binary64_1118
7×sqrt-prod_binary64_1117 associate-/r*_binary64_1045
6×associate-*r/_binary64_1043
4×add-log-exp_binary64_1140 div-inv_binary64_1098
3×frac-2neg_binary64_1112 clear-num_binary64_1100 associate-/l/_binary64_1048 associate-/l*_binary64_1046 pow-prod-down_binary64_1172
2×frac-times_binary64_1111 associate-*l/_binary64_1044
1×*-commutative_binary64_1032 associate-*l*_binary64_1042
Counts
4 → 98
Calls

4 calls:

24.0ms
(*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b)))
14.0ms
(/.f64 (*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b))) (*.f64 3 a))
8.0ms
(/.f64 (*.f64 a c) b)
8.0ms
(/.f64 (*.f64 a c) b)

series192.0ms (3%)

Counts
4 → 12
Calls

4 calls:

70.0ms
(*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b)))
62.0ms
(/.f64 (*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b))) (*.f64 3 a))
32.0ms
(/.f64 (*.f64 a c) b)
27.0ms
(/.f64 (*.f64 a c) b)

simplify135.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
049511261
149511261

prune138.0ms (2.2%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New1055110
Fresh12122
Picked101
Done011
Total10727134
Error
2.7b
Counts
134 → 27
Compiler

Compiled 1997 to 804 computations (59.7% saved)

regimes507.0ms (8%)

Accuracy

Total 3.5b remaining (56.4%)

Threshold costs 0b (0%)

Compiler

Compiled 5591 to 4176 computations (25.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample3.2s (50.7%)

Algorithm
1×intervals
Results
532.0ms3746×body256valid
387.0ms8811×pre128true
308.0ms1477×body512valid
210.0ms2777×body128valid
57.0ms811×body128nan
Compiler

Compiled 1144 to 857 computations (25.1% saved)

Profiling

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