Details

Time bar (total: 4.1s)

sample39.0ms

Algorithm
intervals
Results
21.0ms518×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune10.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.3b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
21.3b
(/ (* x x) (* y y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
1×frac-2neg times-frac clear-num associate-/r* fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
1.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
7.0ms
(/ (* x x) (* y y))

series138.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
30.0ms
(/ (* x x) (* y y))

simplify101.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune109.0ms

Filtered
39 candidates to 26 candidates (66.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New31839
Fresh101
Picked101
Done000
Total33841

Merged error: 0.2b

Counts
41 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
0.3b
(* (/ x y) (/ x y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×times-frac
30×add-cube-cbrt *-un-lft-identity
14×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
9×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
2 → 79
Calls
2 calls:
1.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
11.0ms
(* (/ x y) (/ x y))

series139.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
33.0ms
(* (/ x y) (/ x y))

simplify60.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0375521
11788441
25001391

prune213.0ms

Filtered
85 candidates to 55 candidates (64.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New79685
Fresh527
Picked101
Done000
Total85893

Merged error: 0.1b

Counts
93 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
6.4b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
6.4b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
6.4b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
1.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
1.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
2.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

series568.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(* (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
137.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
142.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
142.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

simplify84.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
01911241
16251122
226251013
35002992

prune333.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New84993
Fresh077
Picked101
Done000
Total8516101

Merged error: 0.1b

Counts
101 → 16

localize15.0ms

Local error

Found 4 expressions with local error:

6.4b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
6.4b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
6.4b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
6.4b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
1.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
1.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
2.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

series579.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
144.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
141.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
145.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

simplify73.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 4 (65.0ms)

IterNodesCost
098676
1203604
2557584
31762572
45001544

prune234.0ms

Filtered
64 candidates to 56 candidates (87.5%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New64064
Fresh01515
Picked011
Done000
Total641680

Merged error: 0.1b

Counts
80 → 16

regimes362.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01433
11433

end0.0ms

sample969.0ms

Algorithm
intervals
Results
572.0ms15628×body80valid

Profiling

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