Details

Time bar (total: 3.9s)

sample17.0ms

Algorithm
intervals
Results
7.0ms279×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1294
2544
3774
41044
51254
61344
71444
81454
91494
101534
112484
122864
133084
143944
154634
165214
176154
186914
197004
207004

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize6.0ms

Local error

Found 1 expressions with local error:

13.1b
(/ (* x (- y z)) (- t z))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
3×add-cube-cbrt
2×cbrt-undiv flip3-- associate-*r/ div-exp associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
9.0ms
(/ (* x (- y z)) (- t z))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (* x (- y z)) (- t z))

simplify86.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0204178
1834151
24013151
35002151

prune70.0ms

Filtered
32 candidates to 23 candidates (71.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

2.2b
(/ x (/ (- t z) (- y z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
193×times-frac
157×add-sqr-sqrt *-un-lft-identity
77×add-cube-cbrt
40×distribute-lft-out-- difference-of-squares
31×associate-/r*
9×associate-/r/
6×add-exp-log add-cbrt-cube
5×div-inv
4×flip3-- flip--
3×cbrt-undiv div-exp associate-/l*
1×pow1 frac-2neg clear-num add-log-exp
Counts
1 → 142
Calls
1 calls:
17.0ms
(/ x (/ (- t z) (- y z)))

series144.0ms

Counts
1 → 3
Calls
1 calls:
144.0ms
(/ x (/ (- t z) (- y z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05741430
125851393
250021390

prune282.0ms

Filtered
145 candidates to 96 candidates (66.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.3b
(* x (/ (- y z) (- t z)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
11.0ms
(/ (- y z) (- t z))
27.0ms
(* x (/ (- y z) (- t z)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- y z) (- t z))
61.0ms
(* x (/ (- y z) (- t z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0349647
11396606
25001606

prune198.0ms

Filtered
108 candidates to 71 candidates (65.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
333×*-un-lft-identity
277×cbrt-prod
273×add-sqr-sqrt
229×times-frac
106×distribute-lft-out--
93×add-cube-cbrt
78×difference-of-squares
58×swap-sqr
34×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
93.0ms
(* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z))))
5.0ms
(cbrt (/ (- y z) (- t z)))
5.0ms
(cbrt (/ (- y z) (- t z)))
6.0ms
(cbrt (/ (- y z) (- t z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
261.0ms
(* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z))))
303.0ms
(cbrt (/ (- y z) (- t z)))
306.0ms
(cbrt (/ (- y z) (- t z)))
317.0ms
(cbrt (/ (- y z) (- t z)))

simplify73.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05433638
117423570
250013366

prune731.0ms

Filtered
288 candidates to 180 candidates (62.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084

end0.0ms

sample424.0ms

Algorithm
intervals
Results
217.0ms8707×body80valid