Details

Time bar (total: 4.3s)

sample21.0ms

Algorithm
intervals
Results
7.0ms279×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1294
2564
3864
41184
51454
61564
71664
81674
91714
101754
112864
123244
133504
144484
155174
165994
177054
187994
198084
208084

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
14.0ms
(/ (* x (- y z)) (- t z))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ (* x (- y z)) (- t z))

simplify90.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0209187
1850160
24095160
35002160

prune91.0ms

Filtered
34 candidates to 25 candidates (73.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
1 → 144
Calls
1 calls:
16.0ms
(/ x (/ (- t z) (- y z)))

series151.0ms

Counts
1 → 3
Calls
1 calls:
151.0ms
(/ x (/ (- t z) (- y z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05791440
125971401
250021398

prune340.0ms

Filtered
147 candidates to 98 candidates (66.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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 expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
13.0ms
(/ (- y z) (- t z))
30.0ms
(* x (/ (- y z) (- t z)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- y z) (- t z))
69.0ms
(* x (/ (- y z) (- t z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0356664
11414623
25001623

prune242.0ms

Filtered
112 candidates to 74 candidates (66.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

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)))

rewrite119.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 284
Calls
4 calls:
73.0ms
(* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z))))
6.0ms
(cbrt (/ (- y z) (- t z)))
10.0ms
(cbrt (/ (- y z) (- t z)))
6.0ms
(cbrt (/ (- y z) (- t z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
272.0ms
(* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z))))
314.0ms
(cbrt (/ (- y z) (- t z)))
320.0ms
(cbrt (/ (- y z) (- t z)))
322.0ms
(cbrt (/ (- y z) (- t z)))

simplify81.0ms

Algorithm
egg-herbie
Counts
296 → 296
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05573688
117993618
250013416

prune849.0ms

Filtered
296 candidates to 188 candidates (63.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes104.0ms

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

sample465.0ms

Algorithm
intervals
Results
226.0ms8707×body80valid