Details

Time bar (total: 2.5min)

analyze280.0ms

Algorithm
search

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms18×body80invalid

simplify220.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1344
2844
32064
44064
55404
67064
79574
814584
923844
1033754
1137624
1243764
1350024

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

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)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 y) z)
13.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify93.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune65.0ms

Filtered
33 candidates to 52 candidates (-57.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New49352
Fresh000
Picked011
Done000
Total49453

Merged error: 0.0b

Counts
53 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

3.2b
(* (* x z) (- y 1.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
7.0ms
(* (* x z) (- y 1.0))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(* (* x z) (- y 1.0))

simplify103.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0173138
1826113
24381113
35001113

prune34.0ms

Filtered
16 candidates to 29 candidates (-81.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New28129
Fresh112
Picked011
Done011
Total29433

Merged error: 0.0b

Counts
33 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.6b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.7b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
44×associate-*r/
41×pow1
40×flip3-- flip--
38×cbrt-prod
36×add-exp-log frac-times
35×add-sqr-sqrt
33×*-un-lft-identity
23×pow-prod-down
22×prod-exp cbrt-unprod
21×add-cbrt-cube
18×associate-*l/
17×associate-*r*
15×add-cube-cbrt
10×swap-sqr associate-*l*
8×distribute-lft-out--
7×pow1/3
6×difference-of-squares
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 159
Calls
4 calls:
5.0ms
(cbrt (- y 1.0))
10.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
20.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
14.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(cbrt (- y 1.0))
9.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
12.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
30.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify103.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
07891993
133251768
250011670

prune287.0ms

Filtered
95 candidates to 171 candidates (-80.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1701171
Fresh011
Picked101
Done022
Total1714175

Merged error: 0.0b

Counts
175 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
0.3b
(cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
0.6b
(* (* (* x z) (* (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))) (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))) (cbrt (- y 1.0)))
2.7b
(* (* x z) (* (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))) (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
20938×cbrt-div
10216×frac-times
6573×flip3-- flip--
5182×associate-*r/
3284×associate-*l/
54×pow1 add-exp-log
37×pow-prod-down prod-exp cbrt-unprod
31×add-cbrt-cube
9×associate-*r*
8×add-sqr-sqrt *-un-lft-identity
7×cbrt-prod
6×add-cube-cbrt
4×add-log-exp
2×pow1/3 associate-*l* *-commutative
1×distribute-lft-out-- difference-of-squares
Counts
4 → 3014
Calls
4 calls:
8.0ms
(cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
8.0ms
(cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
163.0ms
(* (* (* x z) (* (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))) (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))) (cbrt (- y 1.0)))
84.0ms
(* (* x z) (* (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))) (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))))

series65.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
11.0ms
(cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
12.0ms
(* (* (* x z) (* (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))) (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))) (cbrt (- y 1.0)))
30.0ms
(* (* x z) (* (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))) (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))))

simplify1.5s

Algorithm
egg-herbie
Counts
3026 → 3026
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05001138448

prune2.4min

Filtered
2997 candidates to 3026 candidates (-1.0%)

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