Details

Time bar (total: 5.3s)

sample25.0ms

Algorithm
intervals
Results
8.0ms240×body80valid
2.0ms14×body640valid
1.0ms7×body1280valid
1.0ms10×body320valid
1.0ms8×body160valid
0.0ms1×body2560valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (13.0ms)

IterNodesCost
0226
1526
21116
32136
45175
510515
620555
732805
850025

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
11.7b
(fma (/ y (- a t)) (- t z) (+ x y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
6.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

series119.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ y (- a t))
84.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

simplify47.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0170278
1468257
21400257
35002257

prune187.0ms

Filtered
55 candidates to 43 candidates (78.2%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(* (cbrt y) (cbrt y))
11.7b
(fma (/ (* (cbrt y) (cbrt y)) (/ (- a t) (cbrt y))) (- t z) (+ x y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
11×pow1
8×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 fma-udef
Counts
4 → 78
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt y)
6.0ms
(* (cbrt y) (cbrt y))
0.0ms
(fma (/ (* (cbrt y) (cbrt y)) (/ (- a t) (cbrt y))) (- t z) (+ x y))

series701.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt y)
183.0ms
(cbrt y)
206.0ms
(* (cbrt y) (cbrt y))
116.0ms
(fma (/ (* (cbrt y) (cbrt y)) (/ (- a t) (cbrt y))) (- t z) (+ x y))

simplify137.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0166414
1661367
24342342
35002342

prune338.0ms

Filtered
90 candidates to 70 candidates (77.8%)
Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 7.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
0.5b
(* (cbrt (- a t)) (cbrt (- a t)))
11.6b
(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))) (- t z) (+ x y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod
34×add-sqr-sqrt
32×*-un-lft-identity
16×cbrt-div
14×add-cube-cbrt
11×pow1
10×swap-sqr
8×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
6×add-exp-log difference-of-squares
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 102
Calls
4 calls:
2.0ms
(cbrt (- a t))
2.0ms
(cbrt (- a t))
21.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
0.0ms
(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))) (- t z) (+ x y))

series579.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt (- a t))
168.0ms
(cbrt (- a t))
144.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
97.0ms
(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))) (- t z) (+ x y))

simplify50.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0314865
11134805
25001756

prune457.0ms

Filtered
114 candidates to 83 candidates (72.8%)
Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 7.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.9b
(pow (cbrt (cbrt y)) 4)
11.6b
(fma (/ (* (pow (cbrt (cbrt y)) 4) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (/ (- a t) (cbrt y))) (- t z) (+ x y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow pow1/3
2×pow-pow
1×pow-to-exp pow-exp fma-udef sqr-pow
Counts
4 → 62
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt y)
3.0ms
(pow (cbrt (cbrt y)) 4)
0.0ms
(fma (/ (* (pow (cbrt (cbrt y)) 4) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (/ (- a t) (cbrt y))) (- t z) (+ x y))

series838.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt y)
197.0ms
(cbrt y)
336.0ms
(pow (cbrt (cbrt y)) 4)
115.0ms
(fma (/ (* (pow (cbrt (cbrt y)) 4) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (/ (- a t) (cbrt y))) (- t z) (+ x y))

simplify95.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0190458
1597406
22612388
35001386

prune327.0ms

Filtered
74 candidates to 59 candidates (79.7%)
Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 7.1b

regimes406.0ms

Accuracy

-4.2% (5.9b remaining)

Error of 11.9b against oracle of 6.0b and baseline of 11.6b

bsearch98.0ms

Steps
ItersRangePoint
11
1.3630892251498903e-123
1.1270143542582255e-103
2.822071534591463e-113
6
-7.637505415819455e-145
-8.457126843988502e-146
-4.746061254041728e-145

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02511
12511

end0.0ms

sample690.0ms

Algorithm
intervals
Results
251.0ms7397×body80valid
64.0ms460×body640valid
35.0ms226×body1280valid
34.0ms375×body320valid
16.0ms255×body160valid
7.0ms22×body2560valid