Details

Time bar (total: 4.9s)

sample32.0ms

Algorithm
intervals
Results
11.0ms283×body80valid

simplify82.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.7b
(/ (* x (- y z)) (- t z))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- 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 associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
19.0ms
(* x (- y z))
23.0ms
(/ (* x (- y z)) (- t z))

series103.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (- y z))
68.0ms
(/ (* x (- y z)) (- t z))

simplify33.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0264276
11209239
25001239

prune104.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
0.9b
(/ x (/ (- t z) (- y z)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
20.0ms
(/ (- t z) (- y z))
25.0ms
(/ x (/ (- t z) (- y z)))

series233.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- t z) (- y z))
185.0ms
(/ x (/ (- t z) (- y z)))

simplify73.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06331784
128631733
250011730

prune377.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.1b
(* x (/ (- y z) (- t z)))

rewrite68.0ms

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:
20.0ms
(/ (- y z) (- t z))
43.0ms
(* x (/ (- y z) (- t z)))

series118.0ms

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

simplify39.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0349647
11396606
25001606

prune185.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.0b
(* (/ (cbrt x) (/ (* (cbrt (- t z)) (cbrt (- t z))) (cbrt x))) (/ (cbrt x) (/ (cbrt (- t z)) (- y z))))

rewrite414.0ms

Algorithm
rewrite-expression-head
Rules
752×times-frac
619×add-sqr-sqrt
415×cbrt-prod
409×*-un-lft-identity
281×associate-*r*
253×add-cube-cbrt
78×distribute-lft-out-- difference-of-squares
65×associate-*l*
58×add-exp-log
49×unswap-sqr
27×cbrt-undiv div-exp
25×add-cbrt-cube
15×prod-exp cbrt-unprod
14×associate-/r/ div-inv
6×pow1 flip3-- flip--
4×add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 464
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
366.0ms
(* (/ (cbrt x) (/ (* (cbrt (- t z)) (cbrt (- t z))) (cbrt x))) (/ (cbrt x) (/ (cbrt (- t z)) (- y z))))

series702.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt x)
174.0ms
(cbrt x)
180.0ms
(cbrt x)
177.0ms
(* (/ (cbrt x) (/ (* (cbrt (- t z)) (cbrt (- t z))) (cbrt x))) (/ (cbrt x) (/ (cbrt (- t z)) (- y z))))

simplify103.0ms

Algorithm
egg-herbie
Counts
476 → 476
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
024208977
150028785

prune1.5s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084

end0.0ms

sample502.0ms

Algorithm
intervals
Results
208.0ms8720×body80valid