Details

Time bar (total: 2.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms282×body80valid

simplify53.0ms

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: 12.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.1b
(/ (* x (- y z)) (- t z))

rewrite20.0ms

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:
9.0ms
(* x (- y z))
9.0ms
(/ (* x (- y z)) (- t z))

series100.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (- y z))
65.0ms
(/ (* x (- y z)) (- t z))

simplify37.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0264276
11209239
25001239

prune117.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.5b
(/ x (/ (- t z) (- y z)))

rewrite34.0ms

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:
10.0ms
(/ (- t z) (- y z))
13.0ms
(/ x (/ (- t z) (- y z)))

series209.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- t z) (- y z))
154.0ms
(/ x (/ (- t z) (- y z)))

simplify75.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06331784
128631733
250011730

prune405.0ms

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))
2.5b
(* x (/ (- y z) (- t z)))

rewrite40.0ms

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:
10.0ms
(/ (- y z) (- t z))
26.0ms
(* x (/ (- y z) (- t z)))

series147.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- y z) (- t z))
93.0ms
(* x (/ (- y z) (- t z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0349647
11396606
25001606

prune202.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) x)
12.1b
(/ (* (- y z) x) (- t z))

rewrite20.0ms

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-*l* associate-/r*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv 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 → 51
Calls
2 calls:
9.0ms
(* (- y z) x)
9.0ms
(/ (* (- y z) x) (- t z))

series94.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (- y z) x)
66.0ms
(/ (* (- y z) x) (- t z))

simplify40.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0256263
11188226
25001226

prune104.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes130.0ms

Accuracy

-9% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.0b

bsearch66.0ms

Steps
ItersRangePoint
7
1.2547523394300577e-213
1.422627522925298e-211
1.204072221446801e-212
5
-7.70921341637642e-69
-2.2887303055087398e-69
-3.543374415214875e-69

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0208
1208

end0.0ms

sample457.0ms

Algorithm
intervals
Results
233.0ms8752×body80valid