Details

Time bar (total: 3.6s)

sample31.0ms

Algorithm
intervals
Results
18.0ms271×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (28.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (+ (- t z) 1.0))
1.9b
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite20.0ms

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:
18.0ms
(/ a (+ (- t z) 1.0))
0.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series205.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ a (+ (- t z) 1.0))
165.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify101.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0209330
1714301
23086297
35001297

prune166.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ (- t z) 1.0))
0.1b
(* a (/ 1 (+ (- t z) 1.0)))
1.9b
(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

rewrite65.0ms

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:
18.0ms
(/ 1 (+ (- t z) 1.0))
43.0ms
(* a (/ 1 (+ (- t z) 1.0)))
0.0ms
(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

series245.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ 1 (+ (- t z) 1.0))
42.0ms
(* a (/ 1 (+ (- t z) 1.0)))
163.0ms
(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

simplify57.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0329603
11424518
25001473

prune260.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
9.8b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
236×*-un-lft-identity
200×times-frac
126×add-sqr-sqrt
86×add-cube-cbrt
44×distribute-lft-out
42×distribute-lft-out--
22×associate-/r*
20×difference-of-squares
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 expm1-log1p-u frac-2neg div-sub clear-num log1p-expm1-u add-log-exp
1×associate-+l- flip3-- flip3-+ associate-/r/ flip-- flip-+
Counts
2 → 179
Calls
2 calls:
33.0ms
(/ (+ (- t z) 1.0) a)
29.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series169.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (+ (- t z) 1.0) a)
135.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify87.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06391777
124681714
250011713

prune423.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
53×add-sqr-sqrt
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×associate-*r*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 106
Calls
2 calls:
25.0ms
(/ (- y z) (+ (- t z) 1.0))
56.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series191.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- y z) (+ (- t z) 1.0))
136.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify54.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0388776
11314719
25002715

prune266.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes145.0ms

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

sample836.0ms

Algorithm
intervals
Results
567.0ms8453×body80valid