Details

Time bar (total: 2.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms275×body80valid

simplify52.0ms

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: 7.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
7.2b
(/ (* x (- y z)) (- t z))

rewrite16.0ms

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:
6.0ms
(* x (- y z))
8.0ms
(/ (* x (- y z)) (- t z))

series94.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* x (- y z))
62.0ms
(/ (* x (- y z)) (- t z))

simplify34.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0264276
11209239
25001239

prune112.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.9b
(/ x (/ (- t z) (- y z)))

rewrite29.0ms

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:
7.0ms
(/ (- t z) (- y z))
11.0ms
(/ x (/ (- t z) (- y z)))

series183.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- t z) (- y z))
138.0ms
(/ x (/ (- t z) (- y z)))

simplify73.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06331784
128631733
250011730

prune421.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.9b
(/ x (* 1 (/ (- t z) (- y z))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt *-un-lft-identity
28×times-frac
18×add-exp-log
16×add-cube-cbrt
13×add-cbrt-cube
12×distribute-lft-out-- difference-of-squares
8×div-exp associate-/l*
6×associate-/r*
5×cbrt-undiv
4×prod-exp
3×associate-/r/
2×pow1 flip3-- frac-2neg 1-exp clear-num flip-- cbrt-unprod div-inv associate-/l/ add-log-exp
1×div-sub associate-*r/
Counts
2 → 78
Calls
2 calls:
8.0ms
(/ (- t z) (- y z))
11.0ms
(/ x (* 1 (/ (- t z) (- y z))))

series194.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- t z) (- y z))
148.0ms
(/ x (* 1 (/ (- t z) (- y z))))

simplify41.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0368539
11371483
25001476

prune174.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.9b
(* x (/ (- y z) (- t z)))

rewrite26.0ms

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:
8.0ms
(/ (- y z) (- t z))
14.0ms
(* x (/ (- y z) (- t z)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- y z) (- t z))
67.0ms
(* x (/ (- y z) (- t z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0349647
11396606
25001606

prune217.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes132.0ms

Accuracy

18.8% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02521
12721
22721

end0.0ms

sample459.0ms

Algorithm
intervals
Results
234.0ms8707×body80valid