Details

Time bar (total: 3.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms274×body80valid

simplify75.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.6b
(/ (* x (- y z)) (- t z))

rewrite36.0ms

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:
16.0ms
(* x (- y z))
17.0ms
(/ (* x (- y z)) (- t z))

series144.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* x (- y z))
103.0ms
(/ (* x (- y z)) (- t z))

simplify34.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0264276
11209239
25001239

prune113.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.2b
(* x (/ (- y z) (- t z)))

rewrite38.0ms

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))
24.0ms
(* x (/ (- y z) (- t z)))

series111.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- y z) (- t z))
65.0ms
(* x (/ (- y z) (- t z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0349647
11396606
25001606

prune212.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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

series193.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- t z) (- y z))
146.0ms
(/ x (/ (- t z) (- y z)))

simplify67.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06331784
128631733
250011730

prune429.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) (- t z))
0.1b
(/ 1 (/ (- y z) (- t z)))
2.3b
(/ x (/ 1 (/ (- y z) (- t z))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
1184×times-frac
794×add-sqr-sqrt *-un-lft-identity
450×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
134×associate-/r*
40×associate-/r/
35×add-exp-log
23×div-inv
22×div-exp
19×add-cbrt-cube
18×flip3-- flip--
11×associate-/l*
10×cbrt-undiv
4×pow1 rec-exp 1-exp
3×frac-2neg clear-num add-log-exp
2×associate-/l/
1×pow-flip div-sub inv-pow
Counts
3 → 616
Calls
3 calls:
10.0ms
(/ (- y z) (- t z))
17.0ms
(/ 1 (/ (- y z) (- t z)))
28.0ms
(/ x (/ 1 (/ (- y z) (- t z))))

series250.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- y z) (- t z))
128.0ms
(/ 1 (/ (- y z) (- t z)))
76.0ms
(/ x (/ 1 (/ (- y z) (- t z))))

simplify97.0ms

Algorithm
egg-herbie
Counts
625 → 625
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
017277281
150016600

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes157.0ms

Accuracy

10% (2.0b remaining)

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

bsearch59.0ms

Steps
ItersRangePoint
7
4.937911139442563e-106
2.1292235317523427e-104
1.3465025793223362e-105
8
-9.177267785556468e-222
-3.5342673486870483e-224
-8.051056097815923e-223

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample457.0ms

Algorithm
intervals
Results
237.0ms8716×body80valid