Details

Time bar (total: 7.5s)

sample23.0ms

Algorithm
intervals
Results
8.0ms265×body80valid

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (25.0ms)

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (+ (- t z) 1.0))
2.1b
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite41.0ms

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:
39.0ms
(/ a (+ (- t z) 1.0))
0.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series209.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ a (+ (- t z) 1.0))
166.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify87.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0209330
1714301
23086297
35001297

prune163.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.5b

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

rewrite300.0ms

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:
125.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
68.0ms
(/ (+ (- t z) 1.0) a)
55.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series284.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
35.0ms
(/ (+ (- t z) 1.0) a)
141.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify158.0ms

Algorithm
egg-herbie
Counts
510 → 510
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
0182516290
1500112828

prune953.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(/ 1 (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))
2.3b
(* (/ 1 (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

rewrite676.0ms

Algorithm
rewrite-expression-head
Rules
618×times-frac
489×*-un-lft-identity
432×add-sqr-sqrt
296×cbrt-prod
279×add-exp-log
265×associate-*r*
223×add-cube-cbrt
136×div-exp
96×prod-exp
82×distribute-lft-out--
71×add-cbrt-cube
60×distribute-lft-out
54×cbrt-undiv
52×difference-of-squares
34×cbrt-unprod
30×unswap-sqr
20×rec-exp 1-exp associate-*l*
15×div-inv
7×pow1
5×associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r/ associate-/l*
2×pow1/3
1×frac-times pow-flip frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 479
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
88.0ms
(/ 1 (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))
539.0ms
(* (/ 1 (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

series790.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt a)
197.0ms
(cbrt a)
243.0ms
(/ 1 (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))
158.0ms
(* (/ 1 (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

simplify358.0ms

Algorithm
egg-herbie
Counts
491 → 491
Iterations

Useful iterations: 1 (51.0ms)

IterNodesCost
0239510551
150029633

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ (- t z) 1.0))
0.0b
(- x (* (/ 1 (+ (- t z) 1.0)) (* (- y z) a)))
0.0b
(* (- y z) a)
11.5b
(* (/ 1 (+ (- t z) 1.0)) (* (- y z) a))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
32×add-exp-log
31×add-sqr-sqrt
30×times-frac
27×add-cube-cbrt
26×associate-*l*
20×add-cbrt-cube
14×distribute-lft-out
13×prod-exp
12×pow1
8×distribute-lft-out--
7×associate-*l/ cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×expm1-log1p-u flip3-- associate-*r* pow-prod-down associate-/r/ flip-- log1p-expm1-u
3×cbrt-undiv rec-exp fma-neg 1-exp prod-diff associate-/l*
2×frac-times flip3-+ associate-*r/ *-commutative flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log clear-num inv-pow difference-of-squares unswap-sqr
Counts
4 → 138
Calls
4 calls:
38.0ms
(/ 1 (+ (- t z) 1.0))
7.0ms
(- x (* (/ 1 (+ (- t z) 1.0)) (* (- y z) a)))
24.0ms
(* (- y z) a)
111.0ms
(* (/ 1 (+ (- t z) 1.0)) (* (- y z) a))

series336.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ 1 (+ (- t z) 1.0))
134.0ms
(- x (* (/ 1 (+ (- t z) 1.0)) (* (- y z) a)))
31.0ms
(* (- y z) a)
129.0ms
(* (/ 1 (+ (- t z) 1.0)) (* (- y z) a))

simplify82.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05861021
12876876
25002835

prune341.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes194.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02421
12421

end0.0ms

sample620.0ms

Algorithm
intervals
Results
264.0ms8521×body80valid
0.0ms1×body320valid