Details

Time bar (total: 6.0s)

sample28.0ms

Algorithm
intervals
Results
15.0ms282×body80valid

simplify101.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
0.3b
(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)

series136.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- z t) (- z a))
82.0ms
(fma y (/ (- z t) (- z a)) x)

simplify74.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0260433
1705410
22411410
35001410

prune215.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
713×*-un-lft-identity
703×add-sqr-sqrt
693×times-frac
441×prod-diff
413×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
8×add-exp-log add-cbrt-cube
6×associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub fma-udef sub-div
Counts
4 → 581
Calls
4 calls:
9.0ms
(/ z (- z a))
5.0ms
(/ t (- z a))
74.0ms
(- (/ z (- z a)) (/ t (- z a)))
0.0ms
(fma y (- (/ z (- z a)) (/ t (- z a))) x)

series323.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(/ z (- z a))
33.0ms
(/ t (- z a))
121.0ms
(- (/ z (- z a)) (/ t (- z a)))
115.0ms
(fma y (- (/ z (- z a)) (/ t (- z a))) x)

simplify201.0ms

Algorithm
egg-herbie
Counts
593 → 593
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
0123715688
1331611704
2500111614

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- z a))
0.0b
(- (/ z (- z a)) (* t (/ 1 (- z a))))
0.2b
(* t (/ 1 (- z a)))
0.3b
(fma y (- (/ z (- z a)) (* t (/ 1 (- z a)))) x)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
69×*-un-lft-identity
62×times-frac
42×add-cube-cbrt
21×fma-neg associate-*r* prod-diff
17×add-exp-log
13×distribute-lft-out-- difference-of-squares
11×add-cbrt-cube
8×associate-/r/
7×pow1
6×add-log-exp
5×flip3-- associate-/r* flip-- div-inv
4×expm1-log1p-u div-exp prod-exp log1p-expm1-u
3×associate-*r/ associate-*l* un-div-inv associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp frac-sub cbrt-unprod sub-div
1×sub-neg distribute-rgt-out-- pow-flip frac-2neg diff-log pow-prod-down clear-num *-commutative fma-udef inv-pow
Counts
4 → 160
Calls
4 calls:
6.0ms
(/ 1 (- z a))
38.0ms
(- (/ z (- z a)) (* t (/ 1 (- z a))))
21.0ms
(* t (/ 1 (- z a)))
0.0ms
(fma y (- (/ z (- z a)) (* t (/ 1 (- z a)))) x)

series314.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ 1 (- z a))
122.0ms
(- (/ z (- z a)) (* t (/ 1 (- z a))))
38.0ms
(* t (/ 1 (- z a)))
110.0ms
(fma y (- (/ z (- z a)) (* t (/ 1 (- z a)))) x)

simplify65.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04761163
11780973
25002907

prune511.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- z a)) (cbrt (- z a)))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
25.0ms
(* (cbrt (- z a)) (cbrt (- z a)))
2.0ms
(cbrt (- z a))
2.0ms
(cbrt (- z a))
2.0ms
(cbrt (- z a))

series670.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(* (cbrt (- z a)) (cbrt (- z a)))
177.0ms
(cbrt (- z a))
175.0ms
(cbrt (- z a))
171.0ms
(cbrt (- z a))

simplify183.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (172.0ms)

IterNodesCost
0270790
1949753
24618700
35001694

prune461.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes223.0ms

Accuracy

0% (0.5b remaining)

Error of 1.2b against oracle of 0.7b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1157

end0.0ms

sample761.0ms

Algorithm
intervals
Results
493.0ms8718×body80valid
0.0ms1×body2560valid