Details

Time bar (total: 4.6s)

sample20.0ms

Algorithm
intervals
Results
8.0ms284×body80valid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0215
1374
2604
31044
41744
52374
62664
73124
83754
95074
106664
1111174
1213414
1315134
1415354
1515354

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
0.8b
(fma y (/ (- z t) (- z a)) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
13.0ms
(/ (- z t) (- z a))
0.0ms
(fma y (/ (- z t) (- z a)) x)

series140.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (- z t) (- z a))
83.0ms
(fma y (/ (- z t) (- z a)) x)

simplify71.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0260433
1705410
22411410
35001410

prune219.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.3b
(* (- z t) (/ 1 (- z a)))
0.8b
(fma y (* (- z t) (/ 1 (- z a))) x)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ 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 → 105
Calls
3 calls:
6.0ms
(/ 1 (- z a))
26.0ms
(* (- z t) (/ 1 (- z a)))
0.0ms
(fma y (* (- z t) (/ 1 (- z a))) x)

series191.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ 1 (- z a))
52.0ms
(* (- z t) (/ 1 (- z a)))
91.0ms
(fma y (* (- z t) (/ 1 (- z a))) x)

simplify50.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0337585
11465510
25001468

prune294.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b
(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) x)
3.2b
(cbrt (/ (- z t) (- z a)))
3.2b
(cbrt (/ (- z t) (- z a)))
3.2b
(cbrt (/ (- z t) (- z a)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
97×add-sqr-sqrt *-un-lft-identity
93×cbrt-prod
75×times-frac
37×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
6×associate-/r/
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div flip3-- pow1/3 flip-- div-inv
1×fma-udef
Counts
4 → 136
Calls
4 calls:
0.0ms
(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) x)
6.0ms
(cbrt (/ (- z t) (- z a)))
6.0ms
(cbrt (/ (- z t) (- z a)))
6.0ms
(cbrt (/ (- z t) (- z a)))

series565.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) x)
160.0ms
(cbrt (/ (- z t) (- z a)))
157.0ms
(cbrt (/ (- z t) (- z a)))
163.0ms
(cbrt (/ (- z t) (- z a)))

simplify108.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 4 (87.0ms)

IterNodesCost
02381445
14391387
29611374
324601348
450011339

prune580.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))))
0.8b
(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (* (cbrt (/ 1 (* (cbrt (- z a)) (cbrt (- z a))))) (cbrt (/ (- z t) (cbrt (- z a)))))) x)
3.2b
(cbrt (/ (- z t) (- z a)))
3.2b
(cbrt (/ (- z t) (- z a)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
77×cbrt-prod
68×add-sqr-sqrt *-un-lft-identity
53×times-frac
28×add-cube-cbrt
20×distribute-lft-out-- difference-of-squares
15×cbrt-div
12×associate-/r/
8×flip3-- flip--
4×pow1 add-exp-log expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3 div-inv
2×associate-*r/ associate-*l/
1×fma-udef
Counts
4 → 120
Calls
4 calls:
19.0ms
(cbrt (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))))
0.0ms
(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (* (cbrt (/ 1 (* (cbrt (- z a)) (cbrt (- z a))))) (cbrt (/ (- z t) (cbrt (- z a)))))) x)
6.0ms
(cbrt (/ (- z t) (- z a)))
6.0ms
(cbrt (/ (- z t) (- z a)))

series568.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))))
90.0ms
(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (* (cbrt (/ 1 (* (cbrt (- z a)) (cbrt (- z a))))) (cbrt (/ (- z t) (cbrt (- z a)))))) x)
159.0ms
(cbrt (/ (- z t) (- z a)))
153.0ms
(cbrt (/ (- z t) (- z a)))

simplify100.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
03781497
17961415
227881407
350011390

prune667.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes264.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094

end0.0ms

sample506.0ms

Algorithm
intervals
Results
261.0ms8709×body80valid
0.0ms2×body2560valid
0.0ms1×body160valid