Details

Time bar (total: 5.5s)

sample22.0ms

Algorithm
intervals
Results
9.0ms272×body80valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (32.0ms)

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

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (+ (- t z) 1.0))
3.6b
(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)

series204.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ a (+ (- t z) 1.0))
167.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify100.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0209330
1714301
23086297
35001297

prune175.0ms

Filtered
55 candidates to 40 candidates (72.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.6b

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)
11.3b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite198.0ms

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)))
36.0ms
(/ (+ (- t z) 1.0) a)
29.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series274.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
38.0ms
(/ (+ (- t z) 1.0) a)
138.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify166.0ms

Algorithm
egg-herbie
Counts
510 → 510
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
0182516290
1500112828

prune992.0ms

Filtered
510 candidates to 218 candidates (42.7%)
Pruning

5 alts after pruning (3 fresh and 2 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))
2.0b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite87.0ms

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:
3.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
24.0ms
(/ (- y z) (+ (- t z) 1.0))
55.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series292.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
53.0ms
(/ (- y z) (+ (- t z) 1.0))
141.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify62.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0470995
11574917
25001911

prune341.0ms

Filtered
135 candidates to 88 candidates (65.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (+ (- t z) 1.0))
0.5b
(* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))
0.7b
(* (/ (- y z) (cbrt (+ (- t z) 1.0))) a)
6.5b
(* (/ 1 (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (* (/ (- y z) (cbrt (+ (- t z) 1.0))) a))

rewrite372.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
89×add-exp-log
69×associate-*l*
67×cbrt-prod add-sqr-sqrt
47×prod-exp
45×times-frac
35×add-cube-cbrt add-cbrt-cube
28×cbrt-div distribute-lft-out
22×distribute-lft-out--
21×cbrt-unprod
20×div-exp
18×pow1
14×flip3-+ swap-sqr flip-+
12×associate-*r*
10×cbrt-undiv associate-/r/
9×frac-times
8×associate-*l/ difference-of-squares
7×pow1/3 unswap-sqr
6×rec-exp 1-exp pow-prod-down
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×pow-sqr pow-prod-up div-inv
1×pow2 pow-plus
Counts
4 → 208
Calls
4 calls:
11.0ms
(cbrt (+ (- t z) 1.0))
73.0ms
(* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))
58.0ms
(* (/ (- y z) (cbrt (+ (- t z) 1.0))) a)
219.0ms
(* (/ 1 (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (* (/ (- y z) (cbrt (+ (- t z) 1.0))) a))

series494.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(cbrt (+ (- t z) 1.0))
111.0ms
(* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))
137.0ms
(* (/ (- y z) (cbrt (+ (- t z) 1.0))) a)
126.0ms
(* (/ 1 (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (* (/ (- y z) (cbrt (+ (- t z) 1.0))) a))

simplify132.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
09142502
137492123
250031865

prune635.0ms

Filtered
220 candidates to 129 candidates (58.6%)
Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes197.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0146
1146

end0.0ms

sample540.0ms

Algorithm
intervals
Results
292.0ms8494×body80valid
0.0ms1×body1280valid