Details

Time bar (total: 5.1s)

sample36.0ms

Algorithm
intervals
Results
18.0ms496×body80valid

simplify16.0ms

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: 19.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
22.6b
(/ (* 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))

series149.0ms

Counts
2 → 6
Calls
2 calls:
113.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
36.0ms
(/ (* x x) (* y y))

simplify98.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune118.0ms

Filtered
39 candidates to 26 candidates (66.7%)
Pruning

8 alts after pruning (8 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)))
0.4b
(* (/ x y) (/ x y))

rewrite20.0ms

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)))
16.0ms
(* (/ x y) (/ x y))

series144.0ms

Counts
2 → 6
Calls
2 calls:
112.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
31.0ms
(* (/ x y) (/ x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0375521
11788441
25001391

prune246.0ms

Filtered
85 candidates to 56 candidates (65.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt 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 y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series850.0ms

Counts
4 → 12
Calls
4 calls:
235.0ms
(* (cbrt y) (cbrt y))
206.0ms
(cbrt y)
199.0ms
(cbrt y)
210.0ms
(cbrt y)

simplify108.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune362.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×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 → 53
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt (cbrt y))
7.0ms
(cbrt (* (cbrt y) (cbrt y)))

series994.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(cbrt y)
210.0ms
(cbrt y)
277.0ms
(cbrt (cbrt y))
305.0ms
(cbrt (* (cbrt y) (cbrt y)))

simplify127.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 4 (122.0ms)

IterNodesCost
0112239
1242219
2759209
33150209
45002204

prune314.0ms

Filtered
65 candidates to 58 candidates (89.2%)
Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.1b

regimes319.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01311
11311

end0.0ms

sample1.0s

Algorithm
intervals
Results
584.0ms15626×body80valid