Details

Time bar (total: 3.4s)

sample27.0ms

Algorithm
intervals
Results
12.0ms362×body80valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0276
1916
22896
37706
415146
518606
618856
718856

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.4b
(* (* z 9.0) t)
8.5b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u times-frac associate-*r* pow-prod-down log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff clear-num associate-/r* *-commutative div-inv
Counts
3 → 62
Calls
3 calls:
4.0ms
(- (* x y) (* (* z 9.0) t))
5.0ms
(* (* z 9.0) t)
8.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series145.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- (* x y) (* (* z 9.0) t))
23.0ms
(* (* z 9.0) t)
68.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0346438
11623375
25002375

prune203.0ms

Filtered
71 candidates to 52 candidates (73.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z (* 9.0 t)))
0.2b
(* z (* 9.0 t))
8.5b
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u times-frac associate-*l* pow-prod-down log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg fma-neg diff-log div-sub associate-*r* prod-diff clear-num associate-/r* *-commutative div-inv
Counts
3 → 62
Calls
3 calls:
4.0ms
(- (* x y) (* z (* 9.0 t)))
5.0ms
(* z (* 9.0 t))
7.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series147.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(- (* x y) (* z (* 9.0 t)))
19.0ms
(* z (* 9.0 t))
70.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0342437
11396374
25002374

prune192.0ms

Filtered
71 candidates to 49 candidates (69.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 8.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* 9.0 (* t z)))
0.2b
(* 9.0 (* t z))
8.5b
(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* 9.0 t) (+ (- z) z))) (* a 2.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-/l/
5×add-log-exp
4×associate-*r/ frac-add prod-exp cbrt-unprod
3×expm1-log1p-u flip3-- flip3-+ times-frac associate-*l* pow-prod-down flip-- flip-+ log1p-expm1-u associate-/l*
2×cbrt-undiv div-exp
1×associate-+l- sub-neg frac-2neg fma-neg diff-log div-sub associate-*r* prod-diff clear-num associate-/r* *-commutative div-inv
Counts
3 → 66
Calls
3 calls:
4.0ms
(- (* x y) (* 9.0 (* t z)))
5.0ms
(* 9.0 (* t z))
15.0ms
(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* 9.0 t) (+ (- z) z))) (* a 2.0))

series148.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- (* x y) (* 9.0 (* t z)))
25.0ms
(* 9.0 (* t z))
68.0ms
(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* 9.0 t) (+ (- z) z))) (* a 2.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0450675
12074572
25001566

prune257.0ms

Filtered
75 candidates to 54 candidates (72.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) (* a 2.0)) (* (/ (* 9.0 t) 2.0) (/ (- z (+ (- z) z)) a)))
5.7b
(/ (* x y) (* a 2.0))
6.2b
(* (/ (* 9.0 t) 2.0) (/ (- z (+ (- z) z)) a))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
52×add-sqr-sqrt
43×times-frac
40×associate-*r*
36×add-exp-log add-cbrt-cube
32×add-cube-cbrt
18×distribute-lft-out--
12×prod-exp cbrt-unprod distribute-lft-out
11×cbrt-undiv div-exp
9×distribute-rgt-neg-in
7×associate-*l*
6×distribute-lft-neg-in distribute-rgt-out-- distribute-lft1-in
5×pow1 fma-neg prod-diff div-inv add-log-exp
3×expm1-log1p-u neg-mul-1 distribute-rgt-out frac-sub log1p-expm1-u difference-of-squares
2×frac-times associate-*r/ associate-*l/ unswap-sqr
1×sub-neg flip3-- frac-2neg diff-log pow-prod-down clear-num associate-/r* *-commutative flip-- associate-/l*
Counts
3 → 125
Calls
3 calls:
8.0ms
(- (/ (* x y) (* a 2.0)) (* (/ (* 9.0 t) 2.0) (/ (- z (+ (- z) z)) a)))
6.0ms
(/ (* x y) (* a 2.0))
24.0ms
(* (/ (* 9.0 t) 2.0) (/ (- z (+ (- z) z)) a))

series183.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(- (/ (* x y) (* a 2.0)) (* (/ (* 9.0 t) 2.0) (/ (- z (+ (- z) z)) a)))
30.0ms
(/ (* x y) (* a 2.0))
36.0ms
(* (/ (* 9.0 t) 2.0) (/ (- z (+ (- z) z)) a))

simplify105.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
07451276
141491101
250021100

prune374.0ms

Filtered
134 candidates to 87 candidates (64.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes483.0ms

Accuracy

42.5% (4.8b remaining)

Error of 4.8b against oracle of 0.1b and baseline of 8.4b

bsearch4.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04120
14120

end0.0ms

sample708.0ms

Algorithm
intervals
Results
391.0ms11217×body80valid