Details

Time bar (total: 3.4s)

sample20.0ms

Algorithm
intervals
Results
7.0ms197×body80valid
2.0ms22×body640valid
1.0ms11×body1280valid
1.0ms18×body320valid
0.0ms8×body160valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (10.0ms)

IterNodesCost
0165
1355
2765
31375
42854
54594
67194
78484
810644
913974
1021014
1150024

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (+ y 1.0))
1.7b
(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
4×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ fma-udef div-inv
Counts
2 → 45
Calls
2 calls:
11.0ms
(/ y (+ y 1.0))
0.0ms
(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)

series88.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ y (+ y 1.0))
55.0ms
(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)

simplify104.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0203263
1708238
23148232
35002228

prune120.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
10.0b
(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y 1.0))) (- x 1.0) 1.0)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
0.0ms
(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y 1.0))) (- x 1.0) 1.0)

series592.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt y)
173.0ms
(cbrt y)
179.0ms
(cbrt y)
67.0ms
(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y 1.0))) (- x 1.0) 1.0)

simplify45.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0104277
1282243
21092232
35002228

prune184.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ y 1.0))
0.3b
(cbrt (+ y 1.0))
0.3b
(cbrt (+ y 1.0))
9.0b
(fma (* (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0)))) (- x 1.0) 1.0)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-+ pow1/3 flip-+ distribute-lft-out
1×fma-udef
Counts
4 → 58
Calls
4 calls:
4.0ms
(cbrt (+ y 1.0))
4.0ms
(cbrt (+ y 1.0))
4.0ms
(cbrt (+ y 1.0))
0.0ms
(fma (* (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0)))) (- x 1.0) 1.0)

series312.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(cbrt (+ y 1.0))
88.0ms
(cbrt (+ y 1.0))
85.0ms
(cbrt (+ y 1.0))
52.0ms
(fma (* (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0)))) (- x 1.0) 1.0)

simplify75.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0235565
1699515
22697493
35001461

prune257.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
9.7b
(fma (/ (* (cbrt y) (cbrt y)) (/ (+ y 1.0) (cbrt y))) (- x 1.0) 1.0)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
0.0ms
(fma (/ (* (cbrt y) (cbrt y)) (/ (+ y 1.0) (cbrt y))) (- x 1.0) 1.0)

series600.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt y)
178.0ms
(cbrt y)
176.0ms
(cbrt y)
72.0ms
(fma (/ (* (cbrt y) (cbrt y)) (/ (+ y 1.0) (cbrt y))) (- x 1.0) 1.0)

simplify45.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
0104277
1278244
21012231
35002227

prune155.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.9b

regimes99.0ms

Accuracy

97.4% (0.2b remaining)

Error of 7.7b against oracle of 7.5b and baseline of 14.9b

bsearch96.0ms

Steps
ItersRangePoint
10
3473512885.6839814
1.134459934099945e+21
1.02337014478886e+20
10
-8.115669647949308e+25
-40742292820.96068
-1.8933009259790781e+18

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03316
13316

end0.0ms

sample485.0ms

Algorithm
intervals
Results
156.0ms6097×body80valid
69.0ms769×body640valid
40.0ms366×body1280valid
33.0ms495×body320valid
12.0ms273×body160valid