Details

Time bar (total: 5.1s)

sample44.0ms

Algorithm
intervals
Results
14.0ms230×body80valid
4.0ms18×body640valid
2.0ms8×body1280valid
2.0ms11×body320valid
1.0ms12×body160valid
0.0ms1×body2560valid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0206
1456
21116
32886
47146
514986
634106
750016

prune4.0ms

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: 26.3b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- t x))
2.5b
(+ x (/ (* (- y z) (- t x)) (- a z)))
18.6b
(/ (* (- y z) (- t x)) (- a z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
13×flip3-- flip--
10×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-*l* associate-/r* add-log-exp
4×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
10.0ms
(* (- y z) (- t x))
7.0ms
(+ x (/ (* (- y z) (- t x)) (- a z)))
11.0ms
(/ (* (- y z) (- t x)) (- a z))

series340.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* (- y z) (- t x))
166.0ms
(+ x (/ (* (- y z) (- t x)) (- a z)))
139.0ms
(/ (* (- y z) (- t x)) (- a z))

simplify53.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0466583
12158534
25001534

prune215.0ms

Filtered
90 candidates to 67 candidates (74.4%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New781290
Fresh000
Picked101
Done000
Total791291

Merged error: 4.1b

Counts
91 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(* (cbrt (- a z)) (cbrt (- a z)))
1.4b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
7.6b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
96×add-sqr-sqrt
78×*-un-lft-identity
60×cbrt-prod
54×associate-*r*
52×times-frac
34×add-cube-cbrt
28×cbrt-div
27×add-exp-log
25×associate-*l*
21×distribute-lft-out--
19×difference-of-squares
18×add-cbrt-cube
14×flip3-- flip--
13×pow1
10×swap-sqr associate-/r/ unswap-sqr
9×frac-times prod-exp cbrt-unprod
7×cbrt-undiv pow1/3 div-exp
6×add-log-exp
5×associate-*r/ associate-*l/
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×+-commutative pow2 flip3-+ pow-plus sum-log flip-+
Counts
4 → 175
Calls
4 calls:
3.0ms
(cbrt (- a z))
10.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
34.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
3.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series698.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (- a z))
116.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
286.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
143.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify119.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
08442163
141931974
250031855

prune492.0ms

Filtered
187 candidates to 124 candidates (66.3%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1798187
Fresh3811
Picked101
Done000
Total18316199

Merged error: 4.1b

Counts
199 → 16

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.9b
(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z)))))
3.5b
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
35×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
14×associate-*l*
9×pow1 add-cube-cbrt
8×times-frac
6×cbrt-div add-log-exp
5×frac-times associate-*r/
3×flip3-- pow-prod-down associate-*l/ flip-- distribute-lft-out-- difference-of-squares
2×pow1/3 associate-/r/
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ div-inv
Counts
4 → 103
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
37.0ms
(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z)))))
3.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

series734.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (- y z))
146.0ms
(cbrt (- y z))
288.0ms
(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z)))))
154.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

simplify71.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06522061
124891608
250031462

prune308.0ms

Filtered
115 candidates to 69 candidates (60.0%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1114115
Fresh51015
Picked011
Done000
Total11615131

Merged error: 4.1b

Counts
131 → 15

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.9b
(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (* (cbrt (* (cbrt (- y z)) (cbrt (- y z)))) (cbrt (cbrt (- y z)))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z)))))
6.2b
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (* (cbrt (* (cbrt (- y z)) (cbrt (- y z)))) (cbrt (cbrt (- y z)))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
112×add-exp-log
52×prod-exp cbrt-unprod
51×add-cbrt-cube
35×cbrt-undiv div-exp
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
14×associate-*l*
9×pow1 add-cube-cbrt
8×times-frac
6×cbrt-div add-log-exp
5×frac-times associate-*r/
3×flip3-- pow-prod-down associate-*l/ flip-- distribute-lft-out-- difference-of-squares
2×pow1/3 associate-/r/
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ div-inv
Counts
4 → 115
Calls
4 calls:
6.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
33.0ms
(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (* (cbrt (* (cbrt (- y z)) (cbrt (- y z)))) (cbrt (cbrt (- y z)))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z)))))
4.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (* (cbrt (* (cbrt (- y z)) (cbrt (- y z)))) (cbrt (cbrt (- y z)))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

series831.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt (- y z))
190.0ms
(cbrt (- y z))
303.0ms
(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (* (cbrt (* (cbrt (- y z)) (cbrt (- y z)))) (cbrt (cbrt (- y z)))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z)))))
150.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (* (cbrt (* (cbrt (- y z)) (cbrt (- y z)))) (cbrt (cbrt (- y z)))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

simplify96.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07673378
131632569
250012478

prune318.0ms

Filtered
127 candidates to 69 candidates (54.3%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1261127
Fresh01313
Picked101
Done011
Total12715142

Merged error: 4.1b

Counts
142 → 15

regimes421.0ms

bsearch3.0ms

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