Details

Time bar (total: 5.6s)

sample22.0ms

Algorithm
intervals
Results
9.0ms268×body80valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (32.0ms)

IterNodesCost
0256
1586
21106
31986
44116
58636
612295
716985
823045
925085
1025105
1125105

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.7b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (+ (- t z) 1.0))
2.8b
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
15×times-frac
12×add-sqr-sqrt add-cube-cbrt
8×distribute-lft-out
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out--
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
19.0ms
(/ a (+ (- t z) 1.0))
0.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series229.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ a (+ (- t z) 1.0))
179.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify108.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0209330
1714301
23086297
35001297

prune183.0ms

Filtered
55 candidates to 40 candidates (72.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b
(/ (+ (- t z) 1.0) a)
10.3b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
874×*-un-lft-identity
713×times-frac
546×add-sqr-sqrt
383×add-cube-cbrt
300×prod-diff
145×distribute-lft-out--
134×distribute-lft-out
80×difference-of-squares
26×div-inv
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp associate-/r/ associate-/l/
3×pow1 expm1-log1p-u fma-neg div-sub log1p-expm1-u
2×flip3-- frac-2neg clear-num flip--
1×associate-+l- sub-neg flip3-+ diff-log flip-+ associate--r-
Counts
3 → 501
Calls
3 calls:
90.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
36.0ms
(/ (+ (- t z) 1.0) a)
31.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series281.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
36.0ms
(/ (+ (- t z) 1.0) a)
142.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify181.0ms

Algorithm
egg-herbie
Counts
510 → 510
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
0182516290
1500112828

prune1.0s

Filtered
510 candidates to 218 candidates (42.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b
(/ (- y z) (+ (- t z) 1.0))
1.5b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
106×*-un-lft-identity
56×add-sqr-sqrt
51×times-frac
31×associate-*l*
29×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×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 fma-neg associate-*r* prod-diff log1p-expm1-u
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 126
Calls
3 calls:
3.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
29.0ms
(/ (- y z) (+ (- t z) 1.0))
54.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series303.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
59.0ms
(/ (- y z) (+ (- t z) 1.0))
141.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify64.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0470995
11574917
25001911

prune359.0ms

Filtered
135 candidates to 88 candidates (65.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
0.0b
(/ (+ (- t z) 1.0) (- y z))
0.1b
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
1.5b
(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
449×*-un-lft-identity
392×times-frac
256×add-sqr-sqrt
160×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out distribute-lft-out--
41×difference-of-squares
36×add-exp-log associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u
3×fma-neg associate-*r* prod-diff cbrt-unprod
2×frac-2neg clear-num associate-/l/
1×associate-+l- sub-neg pow-flip flip3-+ diff-log div-sub pow-prod-down associate-*l/ *-commutative flip-+ inv-pow
Counts
4 → 352
Calls
4 calls:
3.0ms
(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
42.0ms
(/ (+ (- t z) 1.0) (- y z))
29.0ms
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
87.0ms
(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

series445.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
63.0ms
(/ (+ (- t z) 1.0) (- y z))
104.0ms
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
139.0ms
(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

simplify137.0ms

Algorithm
egg-herbie
Counts
364 → 364
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
09253244
144852901
250012896

prune843.0ms

Filtered
364 candidates to 195 candidates (53.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187
1187

end0.0ms

sample557.0ms

Algorithm
intervals
Results
287.0ms8484×body80valid