Details

Time bar (total: 3.4s)

analyze918.0ms

Algorithm
search
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
0%99.8%0.2%9
4.7%95.1%0.2%10
12.7%87.1%0.2%11
15.9%83.9%0.2%12
24.9%74.9%0.2%13
26.2%73.5%0.2%14

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms24×body80invalid

simplify224.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (221.0ms)

IterNodesCost
0559011

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b
(/.f64 (-.f64 z t) (-.f64 a t))
1.2b
(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt_binary64
71×*-un-lft-identity_binary64
51×times-frac_binary64
31×associate-*r*_binary64
27×add-cube-cbrt_binary64
22×difference-of-squares_binary64 distribute-lft-out--_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 associate-/l*_binary64
associate-/r/_binary64
flip3--_binary64 associate-*l*_binary64 flip--_binary64
associate-/l/_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64
pow-prod-down_binary64 flip3-+_binary64 associate-*r/_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 113
Calls
3 calls:
4.0ms
(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
8.0ms
(/.f64 (-.f64 z t) (-.f64 a t))
19.0ms
(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

series61.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
11.0ms
(/.f64 (-.f64 z t) (-.f64 a t))
19.0ms
(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049841366
149841366

prune124.0ms

Filtered
83 candidates to 122 candidates (-47.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1175122
Fresh000
Picked011
Done000
Total1176123

Merged error: 0b

Counts
123 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 y (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))
0.0b
(/.f64 1 (-.f64 a t))
0.3b
(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
1.2b
(*.f64 y (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt_binary64
42×*-un-lft-identity_binary64
32×add-exp-log_binary64 times-frac_binary64
25×add-cube-cbrt_binary64
22×associate-*r*_binary64
20×add-cbrt-cube_binary64
13×prod-exp_binary64
12×pow1_binary64
associate-*r/_binary64 associate-*l*_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
cbrt-unprod_binary64
add-log-exp_binary64 flip3--_binary64 div-exp_binary64 flip--_binary64
associate-/r*_binary64
pow-prod-down_binary64 associate-/r/_binary64 frac-times_binary64 associate-*l/_binary64
1-exp_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 rec-exp_binary64 associate-/l*_binary64
un-div-inv_binary64 div-inv_binary64 *-commutative_binary64
flip3-+_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 +-commutative_binary64 pow-flip_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 130
Calls
4 calls:
4.0ms
(+.f64 x (*.f64 y (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))
9.0ms
(/.f64 1 (-.f64 a t))
14.0ms
(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
13.0ms
(*.f64 y (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))

series67.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+.f64 x (*.f64 y (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))
5.0ms
(/.f64 1 (-.f64 a t))
11.0ms
(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
20.0ms
(*.f64 y (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))

simplify52.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
052101285

prune113.0ms

Filtered
87 candidates to 142 candidates (-63.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1420142
Fresh044
Picked011
Done011
Total1426148

Merged error: 0b

Counts
148 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
0.0b
(*.f64 y (-.f64 z t))
10.4b
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64
associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 associate-*r*_binary64 times-frac_binary64
associate-*r/_binary64
flip3--_binary64 associate-*l*_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64
associate-/l/_binary64 sub-neg_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64
pow-prod-down_binary64 flip3-+_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 65
Calls
3 calls:
8.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
7.0ms
(*.f64 y (-.f64 z t))
10.0ms
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

series62.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
8.0ms
(*.f64 y (-.f64 z t))
20.0ms
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

simplify45.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05392699

prune66.0ms

Filtered
52 candidates to 74 candidates (-42.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New73174
Fresh123
Picked011
Done022
Total74680

Merged error: 0b

Counts
80 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
0.0b
(/.f64 (-.f64 a t) (-.f64 z t))
1.2b
(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac_binary64
197×*-un-lft-identity_binary64
195×add-sqr-sqrt_binary64
91×add-cube-cbrt_binary64
52×difference-of-squares_binary64 distribute-lft-out--_binary64
36×associate-/r*_binary64
11×associate-/r/_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
flip3--_binary64 div-inv_binary64 flip--_binary64
add-log-exp_binary64
cbrt-undiv_binary64 div-exp_binary64
pow1_binary64
associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64
flip3-+_binary64 distribute-lft-out_binary64 div-sub_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
3 → 206
Calls
3 calls:
28.0ms
(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
8.0ms
(/.f64 (-.f64 a t) (-.f64 z t))
13.0ms
(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

series85.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
11.0ms
(/.f64 (-.f64 a t) (-.f64 z t))
32.0ms
(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
052873369

prune143.0ms

Filtered
145 candidates to 215 candidates (-48.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2141215
Fresh112
Picked101
Done123
Total2174221

Merged error: 0b

Counts
221 → 4

regimes535.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02411
12411

end0.0ms

sample581.0ms

Algorithm
intervals
Results
299.0ms8000×body80valid
25.0ms731×body80invalid

Profiling

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