Details

Time bar (total: 3.7s)

sample24.0ms

Algorithm
intervals
Results
8.0ms283×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.5b
(fma y (/ (- z t) (- z a)) x)

rewrite26.0ms

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:
23.0ms
(/ (- z t) (- z a))
0.0ms
(fma y (/ (- z t) (- z a)) x)

series105.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ (- z t) (- z a))
64.0ms
(fma y (/ (- z t) (- z a)) x)

simplify53.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0260433
1705410
22411410
35001410

prune181.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* (- z t) (/ 1 (- z a)))
1.5b
(fma y (* (- z t) (/ 1 (- z a))) x)

rewrite62.0ms

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:
12.0ms
(/ 1 (- z a))
47.0ms
(* (- z t) (/ 1 (- z a)))
0.0ms
(fma y (* (- z t) (/ 1 (- z a))) x)

series136.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- z a))
38.0ms
(* (- z t) (/ 1 (- z a)))
63.0ms
(fma y (* (- z t) (/ 1 (- z a))) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0337585
11465510
25001468

prune240.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 4 expressions with local error:

1.5b
(fma y (* (* (cbrt (* (- z t) (/ 1 (- z a)))) (cbrt (* (- z t) (/ 1 (- z a))))) (cbrt (* (- z t) (/ 1 (- z a))))) x)
4.5b
(cbrt (* (- z t) (/ 1 (- z a))))
4.5b
(cbrt (* (- z t) (/ 1 (- z a))))
4.5b
(cbrt (* (- z t) (/ 1 (- z a))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
6×frac-times flip3-- associate-*l/ flip--
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*r/ un-div-inv
1×fma-udef
Counts
4 → 61
Calls
4 calls:
0.0ms
(fma y (* (* (cbrt (* (- z t) (/ 1 (- z a)))) (cbrt (* (- z t) (/ 1 (- z a))))) (cbrt (* (- z t) (/ 1 (- z a))))) x)
14.0ms
(cbrt (* (- z t) (/ 1 (- z a))))
14.0ms
(cbrt (* (- z t) (/ 1 (- z a))))
14.0ms
(cbrt (* (- z t) (/ 1 (- z a))))

series421.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(fma y (* (* (cbrt (* (- z t) (/ 1 (- z a)))) (cbrt (* (- z t) (/ 1 (- z a))))) (cbrt (* (- z t) (/ 1 (- z a))))) x)
116.0ms
(cbrt (* (- z t) (/ 1 (- z a))))
119.0ms
(cbrt (* (- z t) (/ 1 (- z a))))
118.0ms
(cbrt (* (- z t) (/ 1 (- z a))))

simplify38.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0132656
1367586
21346554
35001546

prune279.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z a))
1.5b
(fma y (* (* (/ (cbrt (- z t)) (cbrt (- z a))) (cbrt (* (- z t) (/ 1 (- z a))))) (cbrt (* (- z t) (/ 1 (- z a))))) x)
4.5b
(cbrt (* (- z t) (/ 1 (- z a))))
4.5b
(cbrt (* (- z t) (/ 1 (- z a))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-div
7×cbrt-prod add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt flip3-- flip--
4×pow1 add-exp-log expm1-log1p-u frac-times associate-*l/ add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×associate-*r/ un-div-inv
1×fma-udef distribute-lft-out-- difference-of-squares
Counts
4 → 61
Calls
4 calls:
4.0ms
(cbrt (- z a))
0.0ms
(fma y (* (* (/ (cbrt (- z t)) (cbrt (- z a))) (cbrt (* (- z t) (/ 1 (- z a))))) (cbrt (* (- z t) (/ 1 (- z a))))) x)
14.0ms
(cbrt (* (- z t) (/ 1 (- z a))))
15.0ms
(cbrt (* (- z t) (/ 1 (- z a))))

series430.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (- z a))
62.0ms
(fma y (* (* (/ (cbrt (- z t)) (cbrt (- z a))) (cbrt (* (- z t) (/ 1 (- z a))))) (cbrt (* (- z t) (/ 1 (- z a))))) x)
118.0ms
(cbrt (* (- z t) (/ 1 (- z a))))
114.0ms
(cbrt (* (- z t) (/ 1 (- z a))))

simplify65.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0269635
1723571
22809562
35002556

prune337.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.5b

regimes477.0ms

Accuracy

0% (0.8b remaining)

Error of 1.5b against oracle of 0.7b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145
1145

end0.0ms

sample611.0ms

Algorithm
intervals
Results
249.0ms8752×body80valid