Details

Time bar (total: 2.2s)

sample23.0ms

Algorithm
intervals
Results
9.0ms337×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
05499
15499

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 2.8b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
2.7b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
6.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- 1.0 y) z)
10.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify31.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05002450

prune98.0ms

Filtered
36 candidates to 52 candidates (-44.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New44852
Fresh000
Picked011
Done000
Total44953

Merged error: 2.7b

Counts
53 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(* (+ 1.0 (* z (- y 1.0))) (cbrt x))
1.9b
(* (* (cbrt x) (cbrt x)) (* (+ 1.0 (* z (- y 1.0))) (cbrt x)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*r*
4×associate-*l* associate-*l/ add-log-exp
2×flip3-+ pow1/3 associate-*r/ *-commutative flip-+ unswap-sqr
Counts
4 → 70
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
11.0ms
(* (+ 1.0 (* z (- y 1.0))) (cbrt x))
10.0ms
(* (* (cbrt x) (cbrt x)) (* (+ 1.0 (* z (- y 1.0))) (cbrt x)))

series105.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt x)
24.0ms
(cbrt x)
37.0ms
(* (+ 1.0 (* z (- y 1.0))) (cbrt x))
22.0ms
(* (* (cbrt x) (cbrt x)) (* (+ 1.0 (* z (- y 1.0))) (cbrt x)))

simplify58.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04959721
14959721

prune95.0ms

Filtered
54 candidates to 82 candidates (-51.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New81182
Fresh167
Picked011
Done011
Total82991

Merged error: 2.7b

Counts
91 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(* (* (+ 1.0 (* z (- y 1.0))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x)))
1.9b
(* (* (cbrt x) (cbrt x)) (* (* (+ 1.0 (* z (- y 1.0))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1 add-exp-log
30×pow-prod-down prod-exp cbrt-unprod
22×add-cbrt-cube
15×cbrt-prod
10×associate-*r*
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-*l/
4×add-log-exp
2×flip3-+ pow1/3 associate-*r/ associate-*l* *-commutative flip-+
Counts
4 → 87
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
12.0ms
(* (* (+ 1.0 (* z (- y 1.0))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x)))
17.0ms
(* (* (cbrt x) (cbrt x)) (* (* (+ 1.0 (* z (- y 1.0))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x))))

series78.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(* (* (+ 1.0 (* z (- y 1.0))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x)))
13.0ms
(* (* (cbrt x) (cbrt x)) (* (* (+ 1.0 (* z (- y 1.0))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x))))

simplify51.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04973926
14973926

prune100.0ms

Filtered
51 candidates to 99 candidates (-94.1%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New97299
Fresh066
Picked011
Done022
Total9711108

Merged error: 2.4b

Counts
108 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.4b
(pow (cbrt (cbrt x)) 8)
2.5b
(* (+ 1.0 (* z (- y 1.0))) (pow (cbrt (cbrt x)) 8))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
24×add-sqr-sqrt
21×unpow-prod-down
15×add-cube-cbrt *-un-lft-identity
13×associate-*r*
10×add-exp-log
6×add-cbrt-cube
5×pow1 unswap-sqr
4×add-log-exp
3×pow-unpow pow1/3 associate-*l* prod-exp sqr-pow
2×pow-to-exp pow-pow associate-*l/ pow-exp
1×flip3-+ *-commutative cbrt-unprod flip-+
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
3.0ms
(pow (cbrt (cbrt x)) 8)
8.0ms
(* (+ 1.0 (* z (- y 1.0))) (pow (cbrt (cbrt x)) 8))

series133.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt x)
22.0ms
(cbrt x)
44.0ms
(pow (cbrt (cbrt x)) 8)
47.0ms
(* (+ 1.0 (* z (- y 1.0))) (pow (cbrt (cbrt x)) 8))

simplify53.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05013905

prune113.0ms

Filtered
65 candidates to 93 candidates (-43.1%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New93093
Fresh077
Picked011
Done033
Total9311104

Merged error: 2.4b

Counts
104 → 11

regimes511.0ms

Accuracy

0% (0.7b remaining)

Error of 3.3b against oracle of 2.6b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0109
1109

end0.0ms

sample608.0ms

Algorithm
intervals
Results
274.0ms10130×body80valid

Profiling

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