Details

Time bar (total: 3.6s)

sample30.0ms

Algorithm
intervals
Results
13.0ms376×body80valid

simplify71.0ms

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: 8.5b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
8.0b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite20.0ms

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:
3.0ms
(- (* x y) (* (* z 9.0) t))
7.0ms
(* (* z 9.0) t)
9.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series136.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(- (* x y) (* (* z 9.0) t))
22.0ms
(* (* z 9.0) t)
63.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify54.0ms

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: 8.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z (* 9.0 t)))
0.1b
(* z (* 9.0 t))
8.0b
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite19.0ms

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:
3.0ms
(- (* x y) (* z (* 9.0 t)))
6.0ms
(* z (* 9.0 t))
9.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series139.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- (* x y) (* z (* 9.0 t)))
17.0ms
(* z (* 9.0 t))
67.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0342437
11396374
25002374

prune195.0ms

Filtered
71 candidates to 51 candidates (71.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* 9.0 (* t z)))
0.2b
(* 9.0 (* t z))
8.0b
(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* z 9.0) (+ (- t) t))) (* a 2.0))

rewrite51.0ms

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:
3.0ms
(- (* x y) (* 9.0 (* t z)))
6.0ms
(* 9.0 (* t z))
40.0ms
(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* z 9.0) (+ (- t) t))) (* a 2.0))

series145.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(- (* x y) (* 9.0 (* t z)))
20.0ms
(* 9.0 (* t z))
69.0ms
(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* z 9.0) (+ (- t) t))) (* a 2.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0451675
12072572
25001566

prune244.0ms

Filtered
75 candidates to 54 candidates (72.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.8b

localize16.0ms

Local error

Found 2 expressions with local error:

4.2b
(/ (* x y) (* a 2.0))
4.6b
(* (/ (* z 9.0) 2.0) (/ (- t (+ (- t) t)) a))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
53×*-un-lft-identity
49×add-sqr-sqrt
41×times-frac
40×associate-*r*
35×add-exp-log add-cbrt-cube
29×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
4×pow1
3×neg-mul-1 distribute-rgt-out div-inv difference-of-squares
2×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative associate-/l*
Counts
2 → 98
Calls
2 calls:
4.0ms
(/ (* x y) (* a 2.0))
93.0ms
(* (/ (* z 9.0) 2.0) (/ (- t (+ (- t) t)) a))

series54.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (* x y) (* a 2.0))
28.0ms
(* (/ (* z 9.0) 2.0) (/ (- t (+ (- t) t)) a))

simplify76.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0609802
13511661
25001659

prune256.0ms

Filtered
104 candidates to 66 candidates (63.5%)
Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes906.0ms

Accuracy

82.9% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 8.2b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04630
14630

end0.0ms

sample752.0ms

Algorithm
intervals
Results
402.0ms11159×body80valid