Details

Time bar (total: 4.8s)

sample30.0ms

Algorithm
intervals
Results
16.0ms314×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (13.0ms)

IterNodesCost
0258
1508
21068
32088
43226
55206
614396
750026

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma z (- 1.0 t) 1)
0.1b
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
7.8b
(/ (fma z (- 1.0 t) 1) z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 49
Calls
3 calls:
0.0ms
(fma z (- 1.0 t) 1)
0.0ms
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
2.0ms
(/ (fma z (- 1.0 t) 1) z)

series155.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(fma z (- 1.0 t) 1)
96.0ms
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
33.0ms
(/ (fma z (- 1.0 t) 1) z)

simplify52.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0156346
1396307
21684305
35002304

prune205.0ms

Filtered
58 candidates to 47 candidates (81.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ 1 z) 1.0) t)
0.1b
(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
15×prod-diff
13×add-sqr-sqrt
11×add-cube-cbrt
10×distribute-lft-out
7×add-log-exp
5×fma-neg div-inv
3×distribute-lft-out--
2×pow1 add-exp-log expm1-log1p-u diff-log add-cbrt-cube log1p-expm1-u
1×sub-neg flip3-- associate--l+ sum-log flip-- fma-udef difference-of-squares
Counts
2 → 50
Calls
2 calls:
87.0ms
(- (+ (/ 1 z) 1.0) t)
0.0ms
(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

series82.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(- (+ (/ 1 z) 1.0) t)
66.0ms
(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

simplify114.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (108.0ms)

IterNodesCost
0180438
1618303
23771285
35001265

prune131.0ms

Filtered
56 candidates to 30 candidates (53.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))) (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))))
0.6b
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
0.6b
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
0.6b
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ 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 (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))) (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))))
1.0ms
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
1.0ms
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
1.0ms
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
407.0ms
(* (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))) (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))))
211.0ms
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
212.0ms
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
211.0ms
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))

simplify156.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (135.0ms)

IterNodesCost
03021463
19741340
247861218
350011194

prune356.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
0.6b
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
0.6b
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
0.6b
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x 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 (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
1.0ms
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
1.0ms
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
1.0ms
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))

series834.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
207.0ms
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
210.0ms
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
207.0ms
(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0191936
1455868
21569848
35002716

prune346.0ms

Filtered
64 candidates to 60 candidates (93.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes251.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1166

end0.0ms

sample703.0ms

Algorithm
intervals
Results
414.0ms10317×body80valid