Details

Time bar (total: 6.8s)

sample24.0ms

Algorithm
intervals
Results
11.0ms270×body80valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0238
1378
2658
3948
41088
51328
62018
73598
88258
932128
1050018

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
1.4b
(+ (* x y) (* z (- t a)))
24.2b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
8×pow1
6×distribute-rgt-in sub-neg distribute-lft-in associate-*l* add-log-exp
4×associate-+r+ associate-*r/
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 frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 98
Calls
4 calls:
12.0ms
(* z (- t a))
17.0ms
(* z (- b y))
5.0ms
(+ (* x y) (* z (- t a)))
19.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series423.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* z (- t a))
34.0ms
(* z (- b y))
45.0ms
(+ (* x y) (* z (- t a)))
309.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify53.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0401714
11759659
25001659

prune321.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 24.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.8b
(/ 1 (+ y (* z (- b y))))
1.4b
(+ (* x y) (* z (- t a)))
23.4b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
20×times-frac associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×flip3-+ prod-exp flip-+
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative flip3-- pow-flip frac-2neg clear-num sum-log un-div-inv flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 116
Calls
4 calls:
10.0ms
(* z (- b y))
4.0ms
(/ 1 (+ y (* z (- b y))))
3.0ms
(+ (* x y) (* z (- t a)))
23.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series541.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* z (- b y))
93.0ms
(/ 1 (+ y (* z (- b y))))
61.0ms
(+ (* x y) (* z (- t a)))
332.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0449957
12234849
25001823

prune326.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 24.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.4b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.4b
(+ (* x y) (* z (- t a)))
24.1b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
62×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×div-exp
7×pow1 flip3-+ flip-+
6×div-inv associate-/l* add-log-exp
5×associate-*r*
4×cbrt-undiv distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×associate-*l*
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num associate-/l/
1×+-commutative flip3-- pow-flip pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 156
Calls
4 calls:
13.0ms
(* z (- b y))
10.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
3.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.4s

Counts
4 → 12
Calls
4 calls:
34.0ms
(* z (- b y))
1.0s
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
40.0ms
(+ (* x y) (* z (- t a)))
270.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify74.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05762059
127901881
250011793

prune363.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 24.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ 1 (+ y (* z (- b y))))
1.1b
(/ 1 (+ (* x y) (* z (- t a))))
1.4b
(+ (* x y) (* z (- t a)))
22.7b
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
244×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
69×associate-/r/
52×add-exp-log
36×div-exp
35×flip3-+ flip-+ div-inv
21×associate-/r* associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
4×associate-+r+
3×frac-2neg clear-num
2×distribute-rgt-in sub-neg pow-flip distribute-lft-in inv-pow
1×+-commutative sum-log associate-/l/
Counts
4 → 368
Calls
4 calls:
4.0ms
(/ 1 (+ y (* z (- b y))))
5.0ms
(/ 1 (+ (* x y) (* z (- t a))))
3.0ms
(+ (* x y) (* z (- t a)))
21.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series973.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(/ 1 (+ y (* z (- b y))))
55.0ms
(/ 1 (+ (* x y) (* z (- t a))))
41.0ms
(+ (* x y) (* z (- t a)))
796.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify90.0ms

Algorithm
egg-herbie
Counts
380 → 380
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
016477172
150016611

prune766.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 24.3b

regimes367.0ms

Accuracy

0% (0.7b remaining)

Error of 23.4b against oracle of 22.7b and baseline of 23.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1239

end0.0ms

sample658.0ms

Algorithm
intervals
Results
355.0ms8439×body80valid