Details

Time bar (total: 3.6s)

sample30.0ms

Algorithm
intervals
Results
12.0ms330×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.5b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
4.2b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
17.0ms
(- (/ y z) (/ t (- 1.0 z)))
8.0ms
(/ t (- 1.0 z))
21.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series29.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(- (/ y z) (/ t (- 1.0 z)))
6.0ms
(/ t (- 1.0 z))
15.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0387632
11452595
25002593

prune155.0ms

Filtered
98 candidates to 71 candidates (27.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New881098
Fresh000
Picked011
Done000
Total881199

Merged error: 0.5b

Counts
99 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- 1.0 z))
0.3b
(cbrt (- 1.0 z))
0.3b
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
4.2b
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod add-sqr-sqrt
34×*-un-lft-identity
16×add-cube-cbrt cbrt-div
13×pow1
11×associate-*r* associate-*l*
10×swap-sqr
9×flip3-- flip--
8×add-exp-log pow1/3 associate-*r/ distribute-lft-out--
6×add-cbrt-cube difference-of-squares
5×frac-times unswap-sqr
4×add-log-exp
3×pow-prod-down associate-*l/ frac-sub
2×distribute-rgt-in sub-neg distribute-lft-in prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod
1×pow2 pow-plus
Counts
4 → 113
Calls
4 calls:
3.0ms
(cbrt (- 1.0 z))
3.0ms
(cbrt (- 1.0 z))
12.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
8.0ms
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

series35.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (- 1.0 z))
6.0ms
(cbrt (- 1.0 z))
7.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
17.0ms
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

simplify66.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05171257
120441165
250011077

prune301.0ms

Filtered
125 candidates to 89 candidates (28.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1214125
Fresh459
Picked101
Done011
Total12610136

Merged error: 0.0b

Counts
136 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.9b
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
6.5b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.5b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.5b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×*-un-lft-identity
33×cbrt-div
30×cbrt-prod
24×times-frac
18×associate-*r/
12×distribute-lft-out-- difference-of-squares
11×flip3-- frac-sub flip--
9×pow1 add-exp-log frac-times
8×add-cube-cbrt
7×add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down associate-*l/ prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 97
Calls
4 calls:
41.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
19.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
17.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
16.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series159.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
36.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
36.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
39.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify81.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
04331357
110301273
228101253
350011220

prune272.0ms

Filtered
109 candidates to 84 candidates (22.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1072109
Fresh358
Picked011
Done011
Total1109119

Merged error: 0.0b

Counts
119 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

4.2b
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))
6.6b
(cbrt (* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z)))))))
6.6b
(cbrt (* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z)))))))
6.6b
(cbrt (* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z)))))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*r/
15×cbrt-div
12×frac-sub
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×frac-times flip3-- associate-*l/ flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 69
Calls
4 calls:
8.0ms
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))
7.0ms
(cbrt (* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z)))))))
7.0ms
(cbrt (* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z)))))))
7.0ms
(cbrt (* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z)))))))

series189.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))
58.0ms
(cbrt (* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z)))))))
56.0ms
(cbrt (* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z)))))))
60.0ms
(cbrt (* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z)))))))

simplify49.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03361580
113631435
250011321

prune480.0ms

Filtered
81 candidates to 74 candidates (8.6%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh066
Picked011
Done022
Total81990

Merged error: 0.0b

Counts
90 → 9

regimes643.0ms

Accuracy

72.6% (1.3b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 4.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03936
14136
24136

end0.0ms

sample814.0ms

Algorithm
intervals
Results
374.0ms10096×body80valid

Profiling

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