Details

Time bar (total: 3.1s)

sample26.0ms

Algorithm
intervals
Results
11.0ms267×body80valid

simplify80.0ms

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (+ (- t z) 1.0))
1.2b
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite39.0ms

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:
34.0ms
(/ a (+ (- t z) 1.0))
0.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series183.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ a (+ (- t z) 1.0))
137.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify106.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0209330
1714301
23086297
35001297

prune135.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
9.2b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite127.0ms

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:
64.0ms
(/ (+ (- t z) 1.0) a)
53.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series138.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (+ (- t z) 1.0) a)
111.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify67.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
06391777
124681714
250011713

prune351.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
1.4b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite146.0ms

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:
47.0ms
(/ (- y z) (+ (- t z) 1.0))
94.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series160.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- y z) (+ (- t z) 1.0))
112.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify46.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0388776
11314719
25002715

prune228.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (+ (- t z) 1.0))
8.2b
(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
31×times-frac
29×add-sqr-sqrt
22×add-cube-cbrt
21×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
8×distribute-lft-out--
5×associate-*l* associate-/r*
4×pow1 associate-/r/
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times flip3-- flip3-+ div-exp associate-*l/ prod-exp flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative difference-of-squares
Counts
2 → 87
Calls
2 calls:
34.0ms
(/ a (+ (- t z) 1.0))
94.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

series98.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ a (+ (- t z) 1.0))
62.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0352572
11593520
25001518

prune198.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample614.0ms

Algorithm
intervals
Results
272.0ms8464×body80valid