Details

Time bar (total: 6.7s)

sample37.0ms

Algorithm
intervals
Results
22.0ms264×body80valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.0b
(* z (- t a))
0.9b
(+ (* x y) (* z (- t a)))
23.9b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite38.0ms

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:
10.0ms
(* z (- b y))
12.0ms
(* z (- t a))
3.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series418.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* z (- b y))
33.0ms
(* z (- t a))
44.0ms
(+ (* x y) (* z (- t a)))
303.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify51.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0401714
11759659
25001659

prune289.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 24.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.5b
(/ 1 (+ y (* z (- b y))))
0.9b
(+ (* x y) (* z (- t a)))
23.6b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite38.0ms

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:
9.0ms
(* z (- t a))
4.0ms
(/ 1 (+ y (* z (- b y))))
3.0ms
(+ (* x y) (* z (- t a)))
18.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series471.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* z (- t a))
84.0ms
(/ 1 (+ y (* z (- b y))))
41.0ms
(+ (* x y) (* z (- t a)))
311.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0448957
12212849
25002823

prune316.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 24.1b

localize18.0ms

Local error

Found 4 expressions with local error:

11.8b
(/ (+ (* x y) (* z (- t a))) (cbrt (+ y (* z (- b y)))))
14.1b
(cbrt (+ y (* z (- b y))))
14.1b
(cbrt (+ y (* z (- b y))))
14.1b
(cbrt (+ y (* z (- b y))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×cbrt-prod
18×times-frac
8×cbrt-div
6×add-exp-log associate-/r*
5×flip3-+ add-cbrt-cube flip-+
4×pow1 add-log-exp
3×pow1/3 associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 82
Calls
4 calls:
16.0ms
(/ (+ (* x y) (* z (- t a))) (cbrt (+ y (* z (- b y)))))
2.0ms
(cbrt (+ y (* z (- b y))))
2.0ms
(cbrt (+ y (* z (- b y))))
2.0ms
(cbrt (+ y (* z (- b y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
457.0ms
(/ (+ (* x y) (* z (- t a))) (cbrt (+ y (* z (- b y)))))
245.0ms
(cbrt (+ y (* z (- b y))))
245.0ms
(cbrt (+ y (* z (- b y))))
240.0ms
(cbrt (+ y (* z (- b y))))

simplify52.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03961294
112591226
250021195

prune436.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 24.1b

localize26.0ms

Local error

Found 4 expressions with local error:

14.1b
(cbrt (+ y (* z (- b y))))
14.1b
(cbrt (+ y (* z (- b y))))
14.1b
(cbrt (- y (* z (- b y))))
32.7b
(cbrt (- (* y y) (* (* z (- b y)) (* z (- b y)))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×flip3-- flip3-+ flip-- flip-+
1×difference-of-squares
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt (+ y (* z (- b y))))
1.0ms
(cbrt (+ y (* z (- b y))))
1.0ms
(cbrt (- y (* z (- b y))))
2.0ms
(cbrt (- (* y y) (* (* z (- b y)) (* z (- b y)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
240.0ms
(cbrt (+ y (* z (- b y))))
248.0ms
(cbrt (+ y (* z (- b y))))
200.0ms
(cbrt (- y (* z (- b y))))
512.0ms
(cbrt (- (* y y) (* (* z (- b y)) (* z (- b y)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0407821
11222777
25002759

prune388.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 24.1b

regimes390.0ms

Accuracy

0% (0.6b remaining)

Error of 23.0b against oracle of 22.4b and baseline of 23.0b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1198

end0.0ms

sample1.0s

Algorithm
intervals
Results
718.0ms8398×body80valid