Details

Time bar (total: 7.3s)

sample27.0ms

Algorithm
intervals
Results
12.0ms274×body80valid

simplify150.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0248
1438
2758
31208
41568
51898
62658
74518
810238
936328
1050018

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z (- t a)))
0.0b
(* z (- t a))
0.0b
(* z (- b y))
22.9b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
56×*-un-lft-identity
54×prod-diff
52×add-cube-cbrt
33×distribute-rgt-in distribute-lft-in
22×associate-+r+
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
8×pow1
6×sub-neg associate-*l* add-log-exp
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative fma-def frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 161
Calls
4 calls:
6.0ms
(+ (* x y) (* z (- t a)))
8.0ms
(* z (- t a))
8.0ms
(* z (- b y))
9.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ (* x y) (* z (- t a)))
37.0ms
(* z (- t a))
37.0ms
(* z (- b y))
354.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify97.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
06231398
125361029
250021026

prune517.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 23.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
0.4b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
22.7b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
90×times-frac
88×*-un-lft-identity
84×add-cube-cbrt
36×prod-diff
22×distribute-rgt-in distribute-lft-in
21×add-exp-log
18×associate-/r*
15×add-cbrt-cube
11×associate-/r/
10×associate-*r*
9×pow1
8×div-exp
6×flip3-+ associate-*l* flip-+ div-inv associate-/l*
4×cbrt-undiv expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
2×rec-exp flip3-- frac-2neg 1-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×pow-flip inv-pow
Counts
4 → 211
Calls
4 calls:
8.0ms
(* z (- t a))
12.0ms
(* z (- b y))
10.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
8.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.3s

Counts
4 → 12
Calls
4 calls:
38.0ms
(* z (- t a))
47.0ms
(* z (- b y))
898.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
301.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify129.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
07992569
137702096
250012079

prune630.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma z (- b y) y)
0.0b
(* z (- t a))
0.4b
(/ 1 (fma z (- b y) y))
22.6b
(* (/ 1 (fma z (- b y) y)) (fma x y (* z (- t a))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
37×*-un-lft-identity
34×add-cube-cbrt
20×times-frac
19×add-exp-log
18×prod-diff
16×associate-*l*
13×add-cbrt-cube
12×distribute-rgt-in distribute-lft-in
9×pow1
8×associate-*r*
5×prod-exp
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp unswap-sqr
3×associate-/r* cbrt-unprod fma-udef associate-/l*
2×cbrt-undiv sub-neg rec-exp 1-exp associate-*r/ pow-prod-down *-commutative div-inv
1×flip3-- pow-flip frac-2neg associate-*l/ clear-num flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 128
Calls
4 calls:
1.0ms
(fma z (- b y) y)
8.0ms
(* z (- t a))
3.0ms
(/ 1 (fma z (- b y) y))
8.0ms
(* (/ 1 (fma z (- b y) y)) (fma x y (* z (- t a))))

series654.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(fma z (- b y) y)
38.0ms
(* z (- t a))
66.0ms
(/ 1 (fma z (- b y) y))
516.0ms
(* (/ 1 (fma z (- b y) y)) (fma x y (* z (- t a))))

simplify70.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0419981
11667758
25002732

prune390.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 13.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
22.9b
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- b y)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 72
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
9.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- b y)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
210.0ms
(cbrt z)
205.0ms
(cbrt z)
216.0ms
(cbrt z)
444.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- b y)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0255804
1977740
25001725

prune359.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 13.3b

regimes443.0ms

Accuracy

28.8% (9.0b remaining)

Error of 19.9b against oracle of 10.9b and baseline of 23.5b

bsearch61.0ms

Steps
ItersRangePoint
3
3.325624108380948e+76
4.649576028066181e+76
3.904853073243237e+76
6
-1.6491291254077062e+218
-1.0848229914024191e+217
-1.1016366134119363e+217

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03512
13512

end0.0ms

sample691.0ms

Algorithm
intervals
Results
371.0ms8416×body80valid