Details

Time bar (total: 12.6s)

sample21.0ms

Algorithm
intervals
Results
8.0ms280×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

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

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.3b
(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:
13.0ms
(/ (- z t) (- z a))
0.0ms
(fma y (/ (- z t) (- z a)) x)

series126.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- z t) (- z a))
74.0ms
(fma y (/ (- z t) (- z a)) x)

simplify71.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0260433
1705410
22411410
35001410

prune222.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- z a))))
0.0b
(/ (- z t) (- z a))
2.5b
(* y (/ (- z t) (- z a)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
72×*-un-lft-identity
51×times-frac
31×associate-*r*
28×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u flip3-- fma-def associate-*l* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 122
Calls
3 calls:
3.0ms
(+ x (* y (/ (- z t) (- z a))))
13.0ms
(/ (- z t) (- z a))
29.0ms
(* y (/ (- z t) (- z a)))

series236.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(+ x (* y (/ (- z t) (- z a))))
54.0ms
(/ (- z t) (- z a))
82.0ms
(* y (/ (- z t) (- z a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0435776
11703730
25001730

prune374.0ms

Filtered
131 candidates to 91 candidates (69.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
0.0b
(/ z (- z a))
0.0b
(- (/ z (- z a)) (/ t (- z a)))
2.5b
(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite797.0ms

Algorithm
rewrite-expression-head
Rules
3246×*-un-lft-identity
3228×add-sqr-sqrt
3216×times-frac
2205×prod-diff
1920×add-cube-cbrt
886×distribute-rgt-in associate-+r+ distribute-lft-in
661×distribute-lft-out--
649×difference-of-squares
432×associate-/r/
218×flip3-- flip--
216×div-inv
21×fma-neg
18×associate-*r*
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1 distribute-rgt-out--
5×sub-neg associate-/r*
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×fma-def associate-*l* associate-/l*
2×frac-sub sub-div
1×cbrt-undiv +-commutative frac-2neg flip3-+ diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 2359
Calls
4 calls:
142.0ms
(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
5.0ms
(/ z (- z a))
73.0ms
(- (/ z (- z a)) (/ t (- z a)))
247.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

series462.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
53.0ms
(/ z (- z a))
135.0ms
(- (/ z (- z a)) (/ t (- z a)))
171.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

simplify589.0ms

Algorithm
egg-herbie
Counts
2371 → 2371
Iterations

Useful iterations: 1 (66.0ms)

IterNodesCost
0335964192
1500158016

prune6.7s

Filtered
2371 candidates to 1116 candidates (47.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- z a))
0.0b
(- (/ z (- z a)) (/ t (- z a)))
1.0b
(fma (- (/ t (- z a))) (/ 1 1) (* (/ t (- z a)) (/ 1 1)))
1.3b
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

rewrite386.0ms

Algorithm
rewrite-expression-head
Rules
695×*-un-lft-identity
685×add-sqr-sqrt
678×times-frac
441×prod-diff
403×add-cube-cbrt
145×distribute-lft-out--
139×difference-of-squares
92×associate-/r/
47×flip3-- flip--
46×div-inv
21×fma-neg
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u
3×distribute-rgt-out-- associate-/l*
2×fma-udef
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num frac-sub sub-div
Counts
4 → 552
Calls
4 calls:
6.0ms
(/ z (- z a))
318.0ms
(- (/ z (- z a)) (/ t (- z a)))
0.0ms
(fma (- (/ t (- z a))) (/ 1 1) (* (/ t (- z a)) (/ 1 1)))
0.0ms
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

series350.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ z (- z a))
131.0ms
(- (/ z (- z a)) (/ t (- z a)))
49.0ms
(fma (- (/ t (- z a))) (/ 1 1) (* (/ t (- z a)) (/ 1 1)))
122.0ms
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

simplify201.0ms

Algorithm
egg-herbie
Counts
564 → 564
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
0121515622
1317011619
2500110379

prune1.1s

Filtered
564 candidates to 182 candidates (32.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes145.0ms

Accuracy

4.1% (1.4b remaining)

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

bsearch57.0ms

Steps
ItersRangePoint
9
-2.0962738699868069e+111
-7.612407026220868e+102
-9.395656030011187e+105

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03320
14120
24420
34420

end0.0ms

sample547.0ms

Algorithm
intervals
Results
279.0ms8738×body80valid