Details

Time bar (total: 3.4s)

sample20.0ms

Algorithm
intervals
Results
7.0ms339×body80valid

simplify155.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 8 (53.0ms)

IterNodesCost
0144
1344
2924
32324
44914
57854
611154
714824
822183
933493
1048193
1150013

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize6.0ms

Local error

Found 1 expressions with local error:

2.4b
(* (fma (- y 1.0) z 1.0) x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
7.0ms
(* (fma (- y 1.0) z 1.0) x)

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(* (fma (- y 1.0) z 1.0) x)

simplify46.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
094116
130198
2148294
3500294

prune59.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0)))
2.7b
(cbrt (fma (- y 1.0) z 1.0))
2.7b
(cbrt (fma (- y 1.0) z 1.0))
2.7b
(cbrt (fma (- y 1.0) z 1.0))

rewrite16.0ms

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:
11.0ms
(* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0)))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))

series450.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0)))
107.0ms
(cbrt (fma (- y 1.0) z 1.0))
109.0ms
(cbrt (fma (- y 1.0) z 1.0))
108.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify133.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (124.0ms)

IterNodesCost
0288847
1934788
24339703
35001678

prune288.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.4b

localize20.0ms

Local error

Found 4 expressions with local error:

2.7b
(cbrt (fma (- y 1.0) z 1.0))
2.7b
(cbrt (fma (- y 1.0) z 1.0))
2.7b
(cbrt (fma (- y 1.0) z 1.0))
2.7b
(cbrt (fma (- y 1.0) z 1.0))

rewrite5.0ms

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 (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))

series433.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt (fma (- y 1.0) z 1.0))
109.0ms
(cbrt (fma (- y 1.0) z 1.0))
106.0ms
(cbrt (fma (- y 1.0) z 1.0))
110.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0146552
1360520
21293476
35002448

prune317.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 2.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (fma (- y 1.0) z 1.0) x))
2.4b
(* (fma (- y 1.0) z 1.0) x)
2.4b
(* (fma (- y 1.0) z 1.0) x)
2.4b
(* (fma (- y 1.0) z 1.0) x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×cbrt-prod pow1/3
Counts
4 → 71
Calls
4 calls:
3.0ms
(cbrt (* (fma (- y 1.0) z 1.0) x))
7.0ms
(* (fma (- y 1.0) z 1.0) x)
7.0ms
(* (fma (- y 1.0) z 1.0) x)
7.0ms
(* (fma (- y 1.0) z 1.0) x)

series328.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(cbrt (* (fma (- y 1.0) z 1.0) x))
57.0ms
(* (fma (- y 1.0) z 1.0) x)
55.0ms
(* (fma (- y 1.0) z 1.0) x)
59.0ms
(* (fma (- y 1.0) z 1.0) x)

simplify92.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0253513
1760449
23535425
35001423

prune227.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 2.4b

regimes94.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.3b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample501.0ms

Algorithm
intervals
Results
224.0ms10088×body80valid