Details

Time bar (total: 4.2s)

sample22.0ms

Algorithm
intervals
Results
9.0ms269×body80valid

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (29.0ms)

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

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:
8.0ms
(/ a (+ (- t z) 1.0))
1.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series218.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ a (+ (- t z) 1.0))
178.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify98.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0209330
1714301
23086297
35001297

prune144.0ms

Filtered
55 candidates to 40 candidates (72.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New51455
Fresh011
Picked011
Done000
Total51657

Merged error: 1.0b

Counts
57 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
32×times-frac
30×add-sqr-sqrt
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
14×distribute-lft-out
10×add-cbrt-cube
7×distribute-lft-out--
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 99
Calls
3 calls:
12.0ms
(/ 1 (+ (- t z) 1.0))
14.0ms
(* a (/ 1 (+ (- t z) 1.0)))
1.0ms
(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

series259.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ 1 (+ (- t z) 1.0))
43.0ms
(* a (/ 1 (+ (- t z) 1.0)))
173.0ms
(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0329603
11424518
25001473

prune209.0ms

Filtered
108 candidates to 63 candidates (58.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh044
Picked011
Done011
Total1077114

Merged error: 1.0b

Counts
114 → 7

localize10.0ms

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)
10.2b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite124.0ms

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:
43.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
10.0ms
(/ (+ (- t z) 1.0) a)
19.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series292.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
37.0ms
(/ (+ (- t z) 1.0) a)
151.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify175.0ms

Algorithm
egg-herbie
Counts
510 → 510
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
0182516290
1500112828

prune902.0ms

Filtered
510 candidates to 218 candidates (42.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New5082510
Fresh314
Picked011
Done112
Total5125517

Merged error: 0b

Counts
517 → 5

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))
0.6b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite42.0ms

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))
12.0ms
(/ (- y z) (+ (- t z) 1.0))
17.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series315.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
63.0ms
(/ (- y z) (+ (- t z) 1.0))
149.0ms
(* (/ (- 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

prune276.0ms

Filtered
135 candidates to 88 candidates (65.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh022
Picked011
Done022
Total1355140

Merged error: 0b

Counts
140 → 5

regimes202.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0146
1146

end0.0ms

sample560.0ms

Algorithm
intervals
Results
300.0ms8514×body80valid

Profiling

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