Details

Time bar (total: 7.0s)

sample38.0ms

Algorithm
intervals
Results
25.0ms264×body80valid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.8b

localize11.0ms

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))))

rewrite46.0ms

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:
12.0ms
(* z (- b y))
11.0ms
(* z (- t a))
6.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series402.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* z (- b y))
35.0ms
(* z (- t a))
39.0ms
(+ (* x y) (* z (- t a)))
295.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify73.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06231398
125361029
250021026

prune402.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 24.1b

localize16.0ms

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)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
49×*-un-lft-identity
46×add-cube-cbrt
36×prod-diff
22×distribute-rgt-in associate-+r+ distribute-lft-in
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×expm1-log1p-u sub-neg div-exp associate-/r/ log1p-expm1-u 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 fma-def frac-2neg clear-num sum-log un-div-inv flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 161
Calls
4 calls:
11.0ms
(* z (- t a))
5.0ms
(/ 1 (+ y (* z (- b y))))
6.0ms
(+ (* x y) (* z (- t a)))
18.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series473.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* z (- t a))
81.0ms
(/ 1 (+ y (* z (- b y))))
40.0ms
(+ (* x y) (* z (- t a)))
312.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify75.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05941375
125231048
250011011

prune429.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 24.1b

localize17.0ms

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))))

rewrite19.0ms

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 expm1-log1p-u log1p-expm1-u 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 → 90
Calls
4 calls:
12.0ms
(/ (+ (* 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))))

series1.3s

Counts
4 → 12
Calls
4 calls:
439.0ms
(/ (+ (* x y) (* z (- t a))) (cbrt (+ y (* z (- b y)))))
241.0ms
(cbrt (+ y (* z (- b y))))
411.0ms
(cbrt (+ y (* z (- b y))))
256.0ms
(cbrt (+ y (* z (- b y))))

simplify46.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04111340
113161271
250011239

prune437.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 24.1b

localize25.0ms

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 expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×flip3-- flip3-+ flip-- flip-+
1×difference-of-squares
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt (+ y (* z (- b y))))
2.0ms
(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:
235.0ms
(cbrt (+ y (* z (- b y))))
237.0ms
(cbrt (+ y (* z (- b y))))
191.0ms
(cbrt (- y (* z (- b y))))
495.0ms
(cbrt (- (* y y) (* (* z (- b y)) (* z (- b y)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0429869
11327822
25002801

prune436.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 24.1b

regimes370.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1198

end0.0ms

sample997.0ms

Algorithm
intervals
Results
708.0ms8398×body80valid