Details

Time bar (total: 3.8s)

sample23.0ms

Algorithm
intervals
Results
10.0ms276×body80valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (21.0ms)

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

prune7.0ms

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: 1.6b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (+ (- t z) 1.0))
1.6b
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite10.0ms

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)

series189.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ a (+ (- t z) 1.0))
155.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify78.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0209330
1714301
23086297
35001297

prune132.0ms

Filtered
55 candidates to 40 candidates (72.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New49655
Fresh011
Picked101
Done000
Total50757

Merged error: 1.3b

Counts
57 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
0.0b
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
8.8b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite121.0ms

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:
9.0ms
(/ (+ (- t z) 1.0) a)
46.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
14.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series245.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (+ (- t z) 1.0) a)
89.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
125.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify159.0ms

Algorithm
egg-herbie
Counts
510 → 510
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
0182516290
1500112828

prune775.0ms

Filtered
510 candidates to 218 candidates (42.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New5082510
Fresh426
Picked011
Done000
Total5125517

Merged error: 0b

Counts
517 → 5

localize9.0ms

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))
0.4b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite35.0ms

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))
11.0ms
(/ (- y z) (+ (- t z) 1.0))
16.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series262.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
50.0ms
(/ (- y z) (+ (- t z) 1.0))
126.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify49.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0470995
11574917
25001911

prune245.0ms

Filtered
135 candidates to 88 candidates (65.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1341135
Fresh123
Picked011
Done011
Total1355140

Merged error: 0b

Counts
140 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
0.4b
(/ 1 (/ (+ (- t z) 1.0) a))
1.6b
(fma (/ 1 (/ (+ (- t z) 1.0) a)) (- z y) x)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
149×*-un-lft-identity
132×times-frac
69×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
22×associate-/r*
16×add-exp-log distribute-lft-out--
10×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×associate-+l- pow-flip flip3-+ div-sub associate-/r/ flip-+ fma-udef inv-pow
Counts
3 → 152
Calls
3 calls:
8.0ms
(/ (+ (- t z) 1.0) a)
14.0ms
(/ 1 (/ (+ (- t z) 1.0) a))
1.0ms
(fma (/ 1 (/ (+ (- t z) 1.0) a)) (- z y) x)

series286.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (+ (- t z) 1.0) a)
99.0ms
(/ 1 (/ (+ (- t z) 1.0) a))
156.0ms
(fma (/ 1 (/ (+ (- t z) 1.0) a)) (- z y) x)

simplify58.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04571226
120831084
25002974

prune224.0ms

Filtered
161 candidates to 79 candidates (49.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1610161
Fresh022
Picked011
Done022
Total1615166

Merged error: 0b

Counts
166 → 5

regimes191.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample585.0ms

Algorithm
intervals
Results
330.0ms8491×body80valid
3.0ms2×body640valid

Profiling

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