Details

Time bar (total: 9.7s)

sample22.0ms

Algorithm
intervals
Results
9.0ms273×body80valid

simplify91.0ms

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize18.0ms

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)

rewrite26.0ms

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:
24.0ms
(/ a (+ (- t z) 1.0))
1.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series179.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ a (+ (- t z) 1.0))
143.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify80.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0209330
1714301
23086297
35001297

prune143.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.8b

localize12.0ms

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)
9.9b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite212.0ms

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:
93.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
35.0ms
(/ (+ (- t z) 1.0) a)
31.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series236.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
31.0ms
(/ (+ (- t z) 1.0) a)
121.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify150.0ms

Algorithm
egg-herbie
Counts
510 → 510
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
0182516290
1500112759

prune829.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite542.0ms

Algorithm
rewrite-expression-head
Rules
4100×times-frac
3786×*-un-lft-identity
2452×add-sqr-sqrt
1885×add-cube-cbrt
1224×prod-diff
543×distribute-lft-out--
542×distribute-lft-out
278×difference-of-squares
183×div-inv
112×associate-/r/
54×flip3-+ flip-+
36×associate-/l*
27×add-exp-log
18×associate-/r*
17×div-exp add-cbrt-cube
9×cbrt-undiv
5×div-sub add-log-exp
3×pow1 expm1-log1p-u fma-neg log1p-expm1-u associate-/l/
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip--
1×sub-neg diff-log associate--r-
Counts
3 → 1778
Calls
3 calls:
234.0ms
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
26.0ms
(/ (- y z) (+ (- t z) 1.0))
52.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series272.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
48.0ms
(/ (- y z) (+ (- t z) 1.0))
140.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify649.0ms

Algorithm
egg-herbie
Counts
1787 → 1787
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
0500179483

prune4.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a)))
0.0b
(/ 1 (+ (- t z) 1.0))
0.2b
(* (- y z) (/ 1 (+ (- t z) 1.0)))
1.6b
(/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
129×times-frac
121×*-un-lft-identity
92×add-sqr-sqrt
82×add-exp-log
81×add-cube-cbrt
54×prod-diff
42×div-exp
32×add-cbrt-cube
21×associate-*r*
20×prod-exp
18×associate-/r*
14×distribute-lft-out
13×cbrt-undiv
11×rec-exp 1-exp div-inv
9×distribute-lft-out--
8×associate-/r/
7×pow1
6×cbrt-unprod associate-/l/ add-log-exp
5×flip3-- associate-*l* flip--
4×expm1-log1p-u frac-times associate-*l/ log1p-expm1-u associate-/l*
3×fma-neg unswap-sqr
2×frac-2neg flip3-+ associate-*r/ clear-num un-div-inv flip-+ difference-of-squares
1×sub-neg pow-flip diff-log pow-prod-down *-commutative inv-pow
Counts
4 → 240
Calls
4 calls:
17.0ms
(- x (/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a)))
20.0ms
(/ 1 (+ (- t z) 1.0))
53.0ms
(* (- y z) (/ 1 (+ (- t z) 1.0)))
25.0ms
(/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a))

series307.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(- x (/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a)))
38.0ms
(/ 1 (+ (- t z) 1.0))
54.0ms
(* (- y z) (/ 1 (+ (- t z) 1.0)))
127.0ms
(/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a))

simplify62.0ms

Algorithm
egg-herbie
Counts
252 → 252
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
011743631
150022577

prune487.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.3b 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
0197
1197

end0.0ms

sample608.0ms

Algorithm
intervals
Results
333.0ms8492×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid