Details

Time bar (total: 3.7s)

sample20.0ms

Algorithm
intervals
Results
8.0ms284×body80valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0185
1335
2614
31134
41734
52324
62804
73534
84854
96444
1010954
1113194
1214914
1315134
1415134

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
3.2b
(fma (/ y (- z a)) (- z t) x)

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 (- z a))
0.0ms
(fma (/ y (- z a)) (- z t) x)

series127.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ y (- z a))
91.0ms
(fma (/ y (- z a)) (- z t) x)

simplify116.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (111.0ms)

IterNodesCost
0170266
1464247
21318247
34468246
45001244

prune165.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* y (/ 1 (- z a)))
3.2b
(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp flip-- cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 99
Calls
3 calls:
6.0ms
(/ 1 (- z a))
17.0ms
(* y (/ 1 (- z a)))
0.0ms
(fma (* y (/ 1 (- z a))) (- z t) x)

series167.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ 1 (- z a))
31.0ms
(* y (/ 1 (- z a)))
94.0ms
(fma (* y (/ 1 (- z a))) (- z t) x)

simplify75.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0288498
11139430
24201384
35002382

prune246.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
3.2b
(fma (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt y) (cbrt (- z a)))) (- z t) x)

rewrite3.0ms

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:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
0.0ms
(fma (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt y) (cbrt (- z a)))) (- z t) x)

series722.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(cbrt y)
197.0ms
(cbrt y)
194.0ms
(cbrt y)
123.0ms
(fma (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt y) (cbrt (- z a)))) (- z t) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
095357
1260312
21210297
35001294

prune254.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y (- z a)) (- z t) x))
3.2b
(fma (/ y (- z a)) (- z t) x)
3.2b
(fma (/ y (- z a)) (- z t) x)
3.2b
(fma (/ y (- z a)) (- z t) x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
5×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×cbrt-prod fma-udef
1×pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (/ y (- z a)) (- z t) x))
0.0ms
(fma (/ y (- z a)) (- z t) x)
0.0ms
(fma (/ y (- z a)) (- z t) x)
0.0ms
(fma (/ y (- z a)) (- z t) x)

series535.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(cbrt (fma (/ y (- z a)) (- z t) x))
88.0ms
(fma (/ y (- z a)) (- z t) x)
92.0ms
(fma (/ y (- z a)) (- z t) x)
92.0ms
(fma (/ y (- z a)) (- z t) x)

simplify64.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (58.0ms)

IterNodesCost
082333
1161295
2453293
31792290
45003287

prune201.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes273.0ms

Accuracy

87.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02317
12317

end0.0ms

sample519.0ms

Algorithm
intervals
Results
264.0ms8709×body80valid
0.0ms2×body2560valid
0.0ms1×body160valid