Details

Time bar (total: 3.8s)

analyze512.0ms (13.6%)

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
12.5%87.4%0.1%7
18.7%81.1%0.1%8
36.7%60.8%2.5%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
58.2%30.2%11.6%12
61.3%24.4%14.3%13
65%19.8%15.3%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample27.0ms (0.7%)

Algorithm
intervals
Results
12.0ms256×body128valid
1.0ms18×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify182.0ms (4.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
030110
130110

prune3.0ms (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 12 computations (14.3% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite28.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64_100 cancel-sign-sub-inv_binary64_44
10×*-un-lft-identity_binary64_78
distribute-lft-in_binary64_27 add-cube-cbrt_binary64_113 associate-+r+_binary64_10 distribute-rgt-in_binary64_28
associate-*r*_binary64_18
add-cbrt-cube_binary64_114 add-log-exp_binary64_117 add-exp-log_binary64_116 sub-neg_binary64_71 pow1_binary64_139
associate-*l*_binary64_19
associate-*r/_binary64_20
+-commutative_binary64_8 *-commutative_binary64_9 cbrt-unprod_binary64_111 prod-exp_binary64_127 flip-+_binary64_52 distribute-lft-out--_binary64_30 flip3--_binary64_82 flip--_binary64_53 pow-prod-down_binary64_149 unswap-sqr_binary64_46 difference-of-squares_binary64_47 sum-log_binary64_169 flip3-+_binary64_81
Counts
2 → 49
Calls

2 calls:

15.0ms
(*.f64 y (-.f64 z x))
7.0ms
(+.f64 x (*.f64 y (-.f64 z x)))

series131.0ms (3.5%)

Counts
2 → 6
Calls

2 calls:

78.0ms
(*.f64 y (-.f64 z x))
52.0ms
(+.f64 x (*.f64 y (-.f64 z x)))

simplify97.0ms (2.6%)

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
05015584

prune58.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New52355
Fresh000
Picked011
Done000
Total52456

Merged error: 0b

Counts
56 → 4
Compiler

Compiled 684 to 175 computations (74.4% saved)

localize14.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite23.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_117
*-un-lft-identity_binary64_78 sum-log_binary64_169
add-cbrt-cube_binary64_114 +-commutative_binary64_8 add-sqr-sqrt_binary64_100 flip-+_binary64_52 add-cube-cbrt_binary64_113 add-exp-log_binary64_116 unsub-neg_binary64_72 distribute-rgt-neg-out_binary64_38 distribute-lft-out_binary64_29 pow1_binary64_139 flip3-+_binary64_81
associate-+r-_binary64_12 associate-+r+_binary64_10
Counts
2 → 28
Calls

2 calls:

11.0ms
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y (neg.f64 x))))
8.0ms
(+.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))

series116.0ms (3.1%)

Counts
2 → 6
Calls

2 calls:

66.0ms
(+.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))
50.0ms
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y (neg.f64 x))))

simplify111.0ms (2.9%)

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
05041420

prune41.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New34034
Fresh022
Picked011
Done011
Total34438

Merged error: 0b

Counts
38 → 4
Compiler

Compiled 439 to 114 computations (74% saved)

localize15.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x))))
0.1b
(*.f64 y (sqrt.f64 (-.f64 z x)))
0.2b
(*.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)))

rewrite65.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_100 associate-*r*_binary64_18
14×sqrt-div_binary64_95
12×*-un-lft-identity_binary64_78
11×sqrt-prod_binary64_94
10×add-cbrt-cube_binary64_114 add-exp-log_binary64_116 associate-*r/_binary64_20 pow1_binary64_139
add-cube-cbrt_binary64_113
flip3--_binary64_82 flip--_binary64_53
add-log-exp_binary64_117
associate-*l*_binary64_19 cbrt-unprod_binary64_111 prod-exp_binary64_127 frac-times_binary64_88 pow-prod-down_binary64_149
*-commutative_binary64_9 distribute-lft-out--_binary64_30 associate-*l/_binary64_21 unswap-sqr_binary64_46 difference-of-squares_binary64_47
+-commutative_binary64_8 flip-+_binary64_52 sum-log_binary64_169 flip3-+_binary64_81
Counts
3 → 68
Calls

3 calls:

30.0ms
(*.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)))
16.0ms
(*.f64 y (sqrt.f64 (-.f64 z x)))
7.0ms
(+.f64 x (*.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x))))

series227.0ms (6%)

Counts
3 → 9
Calls

3 calls:

118.0ms
(*.f64 y (sqrt.f64 (-.f64 z x)))
62.0ms
(*.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)))
47.0ms
(+.f64 x (*.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x))))

simplify121.0ms (3.2%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
051771152

prune90.0ms (2.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh011
Picked011
Done022
Total77481

Merged error: 0b

Counts
81 → 4
Compiler

Compiled 1333 to 318 computations (76.1% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (exp.f64 (log.f64 (*.f64 y (-.f64 z x)))))
0.0b
(*.f64 y (-.f64 z x))
2.5b
(exp.f64 (log.f64 (*.f64 y (-.f64 z x))))
3.6b
(log.f64 (*.f64 y (-.f64 z x)))

rewrite54.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_100 *-un-lft-identity_binary64_78
12×pow1_binary64_139
add-cube-cbrt_binary64_113 add-exp-log_binary64_116
add-cbrt-cube_binary64_114 add-log-exp_binary64_117 associate-*r/_binary64_20 cancel-sign-sub-inv_binary64_44
associate-*r*_binary64_18 exp-prod_binary64_130
distribute-lft-in_binary64_27 distribute-rgt-in_binary64_28 log-div_binary64_165 log-pow_binary64_167
associate-*l*_binary64_19 flip3--_binary64_82 flip--_binary64_53 pow-prod-down_binary64_149
prod-exp_binary64_127 log-prod_binary64_164 exp-diff_binary64_126 rem-log-exp_binary64_119 sub-neg_binary64_71
+-commutative_binary64_8 *-commutative_binary64_9 exp-sum_binary64_124 cbrt-unprod_binary64_111 flip-+_binary64_52 distribute-lft-out--_binary64_30 rem-exp-log_binary64_118 unswap-sqr_binary64_46 difference-of-squares_binary64_47 distribute-lft-out_binary64_29 sum-log_binary64_169 flip3-+_binary64_81
Counts
4 → 72
Calls

4 calls:

13.0ms
(+.f64 x (exp.f64 (log.f64 (*.f64 y (-.f64 z x)))))
13.0ms
(exp.f64 (log.f64 (*.f64 y (-.f64 z x))))
12.0ms
(*.f64 y (-.f64 z x))
8.0ms
(log.f64 (*.f64 y (-.f64 z x)))

series475.0ms (12.6%)

Counts
4 → 12
Calls

4 calls:

170.0ms
(exp.f64 (log.f64 (*.f64 y (-.f64 z x))))
150.0ms
(+.f64 x (exp.f64 (log.f64 (*.f64 y (-.f64 z x)))))
96.0ms
(log.f64 (*.f64 y (-.f64 z x)))
58.0ms
(*.f64 y (-.f64 z x))

simplify127.0ms (3.4%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
04970905
14970905

prune90.0ms (2.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New84084
Fresh000
Picked011
Done033
Total84488

Merged error: 0b

Counts
88 → 4
Compiler

Compiled 1065 to 278 computations (73.9% saved)

regimes114.0ms (3%)

Compiler

Compiled 276 to 242 computations (12.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01910
11910

end0.0ms (0%)

sample1.0s (27%)

Algorithm
intervals
Results
417.0ms8000×body128valid
29.0ms581×body128invalid
Compiler

Compiled 79 to 69 computations (12.7% saved)

Profiling

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