Details

Time bar (total: 7.5s)

sample29.0ms

Algorithm
intervals
Results
13.0ms264×body80valid

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.2b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
1.5b
(+ (* x y) (* z (- t a)))
24.5b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite29.0ms

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:
9.0ms
(* z (- t a))
6.0ms
(* z (- b y))
4.0ms
(+ (* x y) (* z (- t a)))
7.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series419.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* z (- t a))
33.0ms
(* z (- b y))
42.0ms
(+ (* x y) (* z (- t a)))
311.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify52.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0401714
11759659
25001659

prune278.0ms

Filtered
110 candidates to 74 candidates (67.3%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New9812110
Fresh000
Picked011
Done000
Total9813111

Merged error: 24.5b

Counts
111 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.5b
(/ 1 (+ y (* z (- b y))))
1.5b
(+ (* x y) (* z (- t a)))
24.2b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite29.0ms

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:
6.0ms
(* z (- b y))
5.0ms
(/ 1 (+ y (* z (- b y))))
4.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series678.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* z (- b y))
82.0ms
(/ 1 (+ y (* z (- b y))))
55.0ms
(+ (* x y) (* z (- t a)))
504.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0449957
12234849
25001823

prune258.0ms

Filtered
128 candidates to 76 candidates (59.4%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1271128
Fresh11011
Picked011
Done011
Total12813141

Merged error: 24.5b

Counts
141 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

16.0b
(cbrt (+ y (* z (- b y))))
16.0b
(cbrt (+ y (* z (- b y))))
16.0b
(cbrt (+ y (* z (- b y))))
17.8b
(/ (+ (* x y) (* z (- t a))) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-+ flip-+
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
2.0ms
(cbrt (+ y (* z (- b y))))
2.0ms
(cbrt (+ y (* z (- b y))))
5.0ms
(cbrt (+ y (* z (- b y))))
12.0ms
(/ (+ (* x y) (* z (- t a))) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))

series2.0s

Counts
4 → 12
Calls
4 calls:
241.0ms
(cbrt (+ y (* z (- b y))))
235.0ms
(cbrt (+ y (* z (- b y))))
246.0ms
(cbrt (+ y (* z (- b y))))
1.2s
(/ (+ (* x y) (* z (- t a))) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))

simplify44.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
04301194
112841085
250021042

prune319.0ms

Filtered
82 candidates to 72 candidates (87.8%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh01010
Picked011
Done022
Total821395

Merged error: 24.5b

Counts
95 → 13

localize21.0ms

Local error

Found 4 expressions with local error:

11.4b
(* (/ 1 (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y)))))) (/ (+ (* x y) (* z (- t a))) (cbrt (+ y (* z (- b y))))))
16.0b
(cbrt (+ y (* z (- b y))))
16.0b
(cbrt (+ y (* z (- b y))))
16.0b
(cbrt (+ y (* z (- b y))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 119
Calls
4 calls:
24.0ms
(* (/ 1 (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y)))))) (/ (+ (* 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))))

series1.5s

Counts
4 → 12
Calls
4 calls:
807.0ms
(* (/ 1 (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y)))))) (/ (+ (* x y) (* z (- t a))) (cbrt (+ y (* z (- b y))))))
238.0ms
(cbrt (+ y (* z (- b y))))
232.0ms
(cbrt (+ y (* z (- b y))))
238.0ms
(cbrt (+ y (* z (- b y))))

simplify86.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06662523
133002201
250012025

prune436.0ms

Filtered
131 candidates to 90 candidates (68.7%)
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New1310131
Fresh099
Picked011
Done033
Total13113144

Merged error: 24.5b

Counts
144 → 13

regimes471.0ms

Accuracy

0% (0.6b remaining)

Error of 22.9b against oracle of 22.3b and baseline of 22.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1198

end0.0ms

sample648.0ms

Algorithm
intervals
Results
363.0ms8432×body80valid