Details

Time bar (total: 3.8s)

sample21.0ms

Algorithm
intervals
Results
9.0ms285×body80valid

simplify71.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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

series118.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- z t) (- z a))
72.0ms
(fma y (/ (- z t) (- z a)) x)

simplify57.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0260433
1705410
22411410
35001410

prune186.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* (- z t) (/ 1 (- z a)))
0.8b
(fma y (* (- z t) (/ 1 (- z a))) x)

rewrite38.0ms

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))
28.0ms
(* (- z t) (/ 1 (- z a)))
0.0ms
(fma y (* (- z t) (/ 1 (- z a))) x)

series150.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- z a))
48.0ms
(* (- z t) (/ 1 (- z a)))
67.0ms
(fma y (* (- z t) (/ 1 (- z a))) x)

simplify44.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0337585
11465510
25001468

prune264.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 (- z a)))
0.6b
(cbrt (/ 1 (- z a)))
0.6b
(cbrt (/ 1 (- z a)))
0.8b
(fma y (* (- z t) (* (* (cbrt (/ 1 (- z a))) (cbrt (/ 1 (- z a)))) (cbrt (/ 1 (- z a))))) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
49×add-sqr-sqrt *-un-lft-identity
45×times-frac
31×add-cube-cbrt
9×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 → 106
Calls
4 calls:
4.0ms
(cbrt (/ 1 (- z a)))
7.0ms
(cbrt (/ 1 (- z a)))
4.0ms
(cbrt (/ 1 (- z a)))
0.0ms
(fma y (* (- z t) (* (* (cbrt (/ 1 (- z a))) (cbrt (/ 1 (- z a)))) (cbrt (/ 1 (- z a))))) x)

series520.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (/ 1 (- z a)))
155.0ms
(cbrt (/ 1 (- z a)))
151.0ms
(cbrt (/ 1 (- z a)))
68.0ms
(fma y (* (- z t) (* (* (cbrt (/ 1 (- z a))) (cbrt (/ 1 (- z a)))) (cbrt (/ 1 (- z a))))) x)

simplify74.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
02501018
1609961
22251901
35001808

prune354.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 (- z a)))
0.6b
(cbrt (/ 1 (- z a)))
0.6b
(cbrt (/ 1 (- z a)))
0.8b
(fma y (* (- z t) (* (* (* 1 (cbrt (/ 1 (- z a)))) (cbrt (/ 1 (- z a)))) (cbrt (/ 1 (- z a))))) x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
49×add-sqr-sqrt *-un-lft-identity
45×times-frac
31×add-cube-cbrt
9×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 → 106
Calls
4 calls:
4.0ms
(cbrt (/ 1 (- z a)))
4.0ms
(cbrt (/ 1 (- z a)))
4.0ms
(cbrt (/ 1 (- z a)))
0.0ms
(fma y (* (- z t) (* (* (* 1 (cbrt (/ 1 (- z a)))) (cbrt (/ 1 (- z a)))) (cbrt (/ 1 (- z a))))) x)

series725.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (/ 1 (- z a)))
357.0ms
(cbrt (/ 1 (- z a)))
153.0ms
(cbrt (/ 1 (- z a)))
69.0ms
(fma y (* (- z t) (* (* (* 1 (cbrt (/ 1 (- z a)))) (cbrt (/ 1 (- z a)))) (cbrt (/ 1 (- z a))))) x)

simplify82.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
02581030
1668970
22590908
35002815

prune318.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes165.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094

end0.0ms

sample530.0ms

Algorithm
intervals
Results
273.0ms8769×body80valid