Details

Time bar (total: 4.4s)

sample35.0ms

Algorithm
intervals
Results
18.0ms518×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
23.8b
(/ (* x x) (* y y))

rewrite7.0ms

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:
0.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
5.0ms
(/ (* x x) (* y y))

series137.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
30.0ms
(/ (* x x) (* y y))

simplify95.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune107.0ms

Filtered
39 candidates to 26 candidates (66.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

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))

rewrite17.0ms

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:
0.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
13.0ms
(* (/ x y) (/ x y))

series145.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
40.0ms
(* (/ x y) (/ x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0375521
11788441
25001391

prune229.0ms

Filtered
85 candidates to 56 candidates (65.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite3.0ms

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 y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series788.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt y)
193.0ms
(cbrt y)
192.0ms
(cbrt y)
202.0ms
(cbrt y)

simplify143.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152

prune264.0ms

Filtered
64 candidates to 56 candidates (87.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

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)))))
8.3b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
8.3b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
8.3b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

rewrite10.0ms

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))))
1.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

series590.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
140.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
141.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
151.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

simplify76.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
01911241
16251122
226251013
35002992

prune296.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.1b

regimes375.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
11316

end0.0ms

sample942.0ms

Algorithm
intervals
Results
563.0ms15631×body80valid