Details

Time bar (total: 1.3s)

analyze2.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample16.0ms (1.3%)

Algorithm
1×intervals
Results
6.0ms256×pre128true
4.0ms256×body128valid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify98.0ms (7.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
07010
17010

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 8 computations (42.9% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (+.f64 a b) (+.f64 a b))

rewrite12.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
19×*-un-lft-identity_binary64_1101
8×pow1_binary64_1162
7×add-sqr-sqrt_binary64_1123
6×distribute-lft-out_binary64_1052 flip3-+_binary64_1104 swap-sqr_binary64_1068 flip-+_binary64_1075
5×add-cube-cbrt_binary64_1136
4×frac-times_binary64_1111 associate-*r*_binary64_1041 associate-*l*_binary64_1042
3×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
2×associate-*r/_binary64_1043 associate-*l/_binary64_1044
1×pow-plus_binary64_1164 *-commutative_binary64_1032 cbrt-unprod_binary64_1134 pow-prod-up_binary64_1171 add-log-exp_binary64_1140 prod-exp_binary64_1150 distribute-lft-in_binary64_1050 pow-sqr_binary64_1074 pow-prod-down_binary64_1172 unswap-sqr_binary64_1069 pow2_binary64_1182 distribute-rgt-in_binary64_1051
Counts
1 → 40
Calls

1 calls:

9.0ms
(*.f64 (+.f64 a b) (+.f64 a b))

series15.0ms (1.1%)

Counts
1 → 3
Calls

1 calls:

15.0ms
(*.f64 (+.f64 a b) (+.f64 a b))

simplify57.0ms (4.4%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04969523
14969523

prune35.0ms (2.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New39443
Fresh000
Picked101
Done000
Total40444

Merged error: 0b

Counts
44 → 4
Compiler

Compiled 570 to 214 computations (62.5% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 b (+.f64 a b))
0.0b
(+.f64 (*.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b)))

rewrite17.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
10×associate-*r/_binary64_1043
6×add-sqr-sqrt_binary64_1123 *-un-lft-identity_binary64_1101 flip3-+_binary64_1104 flip-+_binary64_1075
4×add-log-exp_binary64_1140 add-exp-log_binary64_1139 pow1_binary64_1162 add-cube-cbrt_binary64_1136 add-cbrt-cube_binary64_1137 associate-*r*_binary64_1041 frac-add_binary64_1109
3×distribute-lft-in_binary64_1050 associate-*l*_binary64_1042 distribute-rgt-in_binary64_1051
2×associate-+r+_binary64_1033 associate-+l+_binary64_1034
1×*-commutative_binary64_1032 distribute-rgt-out_binary64_1054 cbrt-unprod_binary64_1134 prod-exp_binary64_1150 distribute-lft-out_binary64_1052 sum-log_binary64_1192 +-commutative_binary64_1031 pow-prod-down_binary64_1172 unswap-sqr_binary64_1069
Counts
2 → 43
Calls

2 calls:

8.0ms
(+.f64 (*.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b)))
6.0ms
(*.f64 b (+.f64 a b))

series42.0ms (3.3%)

Counts
2 → 6
Calls

2 calls:

24.0ms
(+.f64 (*.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b)))
19.0ms
(*.f64 b (+.f64 a b))

simplify61.0ms (4.7%)

Algorithm
1×egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04768664
14768664

prune32.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New48149
Fresh303
Picked011
Done000
Total51253

Merged error: 0b

Counts
53 → 2
Compiler

Compiled 765 to 191 computations (75% saved)

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 a a) (*.f64 b (+.f64 a (+.f64 a b))))
0.0b
(+.f64 a (+.f64 a b))
0.0b
(*.f64 b (+.f64 a (+.f64 a b)))

rewrite21.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
15×*-un-lft-identity_binary64_1101
10×add-log-exp_binary64_1140
7×add-sqr-sqrt_binary64_1123
6×distribute-lft-out_binary64_1052
5×add-exp-log_binary64_1139 pow1_binary64_1162 add-cube-cbrt_binary64_1136 add-cbrt-cube_binary64_1137 associate-*r*_binary64_1041
4×sum-log_binary64_1192
3×associate-+r+_binary64_1033 flip3-+_binary64_1104 flip-+_binary64_1075 associate-*l*_binary64_1042
2×distribute-lft-in_binary64_1050 associate-*r/_binary64_1043 +-commutative_binary64_1031 distribute-rgt-in_binary64_1051
1×*-commutative_binary64_1032 cbrt-unprod_binary64_1134 prod-exp_binary64_1150 pow-prod-down_binary64_1172 unswap-sqr_binary64_1069
Counts
3 → 52
Calls

3 calls:

8.0ms
(*.f64 b (+.f64 a (+.f64 a b)))
6.0ms
(+.f64 a (+.f64 a b))
4.0ms
(+.f64 (*.f64 a a) (*.f64 b (+.f64 a (+.f64 a b))))

series62.0ms (4.8%)

Counts
3 → 9
Calls

3 calls:

25.0ms
(*.f64 b (+.f64 a (+.f64 a b)))
20.0ms
(+.f64 (*.f64 a a) (*.f64 b (+.f64 a (+.f64 a b))))
17.0ms
(+.f64 a (+.f64 a b))

simplify53.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05037730

prune33.0ms (2.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New61061
Fresh000
Picked011
Done011
Total61263

Merged error: 0b

Counts
63 → 2
Compiler

Compiled 907 to 188 computations (79.3% saved)

regimes84.0ms (6.5%)

Compiler

Compiled 569 to 404 computations (29% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01216
11216

end0.0ms (0%)

sample636.0ms (49.1%)

Algorithm
1×intervals
Results
186.0ms8000×pre128true
134.0ms8000×body128valid
Compiler

Compiled 167 to 113 computations (32.3% saved)

Profiling

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