Details

Time bar (total: 5.4s)

sample30.0ms

Algorithm
intervals
Results
17.0ms271×body80valid

simplify89.0ms

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: 1.2b

localize11.0ms

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)
7.9b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite193.0ms

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:
84.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
33.0ms
(/ (+ (- t z) 1.0) a)
31.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series271.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
37.0ms
(/ (+ (- t z) 1.0) a)
139.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify156.0ms

Algorithm
egg-herbie
Counts
510 → 510
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
0182516290
1500112828

prune937.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

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))
1.5b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite86.0ms

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:
2.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
25.0ms
(/ (- y z) (+ (- t z) 1.0))
54.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series283.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
52.0ms
(/ (- y z) (+ (- t z) 1.0))
135.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify59.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0470995
11574917
25001911

prune313.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (- y z) (fma 1.0 (/ 1 a) (- (/ t a) (/ z a)))))
0.0b
(fma 1.0 (/ 1 a) (- (/ t a) (/ z a)))
1.2b
(- (/ t a) (/ z a))
7.9b
(/ (- y z) (fma 1.0 (/ 1 a) (- (/ t a) (/ z a))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
314×times-frac
295×add-sqr-sqrt
288×*-un-lft-identity
252×add-cube-cbrt
226×prod-diff
33×div-inv
19×difference-of-squares
18×distribute-lft-out--
16×fma-neg
8×add-log-exp
6×add-exp-log add-cbrt-cube
5×associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u
3×flip3-- associate-/r* flip--
2×sub-neg diff-log div-sub associate-/l/
1×cbrt-undiv distribute-rgt-out-- frac-2neg div-exp clear-num frac-sub fma-udef sub-div associate--r-
Counts
4 → 335
Calls
4 calls:
16.0ms
(- x (/ (- y z) (fma 1.0 (/ 1 a) (- (/ t a) (/ z a)))))
0.0ms
(fma 1.0 (/ 1 a) (- (/ t a) (/ z a)))
25.0ms
(- (/ t a) (/ z a))
11.0ms
(/ (- y z) (fma 1.0 (/ 1 a) (- (/ t a) (/ z a))))

series266.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(- x (/ (- y z) (fma 1.0 (/ 1 a) (- (/ t a) (/ z a)))))
36.0ms
(fma 1.0 (/ 1 a) (- (/ t a) (/ z a)))
27.0ms
(- (/ t a) (/ z a))
80.0ms
(/ (- y z) (fma 1.0 (/ 1 a) (- (/ t a) (/ z a))))

simplify149.0ms

Algorithm
egg-herbie
Counts
347 → 347
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
012628634
137736239
250016208

prune837.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
33×prod-diff
31×add-sqr-sqrt
25×add-cube-cbrt
20×times-frac
10×add-exp-log add-cbrt-cube distribute-lft-out
8×associate-/r/
7×distribute-lft-out--
5×pow1 associate-*l* associate-/r* add-log-exp
4×flip3-+ associate-*l/ flip-+ div-inv
3×expm1-log1p-u flip3-- fma-neg associate-*r* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ difference-of-squares
1×sub-neg frac-2neg diff-log pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
3 → 107
Calls
3 calls:
41.0ms
(- x (/ (* (- y z) a) (+ (- t z) 1.0)))
10.0ms
(* (- y z) a)
22.0ms
(/ (* (- y z) a) (+ (- t z) 1.0))

series204.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(- x (/ (* (- y z) a) (+ (- t z) 1.0)))
33.0ms
(* (- y z) a)
74.0ms
(/ (* (- y z) a) (+ (- t z) 1.0))

simplify75.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05501632
123741181
250021177

prune265.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes100.0ms

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

sample852.0ms

Algorithm
intervals
Results
579.0ms8510×body80valid
0.0ms1×body640valid
0.0ms1×body320valid