Details

Time bar (total: 2.7s)

sample22.0ms

Algorithm
intervals
Results
9.0ms276×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.2b
(/ (* x (- y z)) (- t z))

rewrite48.0ms

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:
23.0ms
(* x (- y z))
23.0ms
(/ (* x (- y z)) (- t z))

series89.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* x (- y z))
56.0ms
(/ (* x (- y z)) (- t z))

simplify36.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0264276
11209239
25001239

prune118.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.0b
(/ x (/ (- t z) (- y z)))

rewrite62.0ms

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:
25.0ms
(/ (- t z) (- y z))
25.0ms
(/ x (/ (- t z) (- y z)))

series172.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (- t z) (- y z))
129.0ms
(/ x (/ (- t z) (- y z)))

simplify69.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06331784
128631733
250011730

prune372.0ms

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))
2.1b
(* x (/ (- y z) (- t z)))

rewrite75.0ms

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:
22.0ms
(/ (- y z) (- t z))
46.0ms
(* x (/ (- y z) (- t z)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (- y z) (- t z))
55.0ms
(* x (/ (- y z) (- t z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0349647
11396606
25001606

prune194.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.2b
(* (- y z) (/ 1 (- t z)))
2.1b
(* x (* (- y z) (/ 1 (- t z))))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
14.0ms
(/ 1 (- t z))
46.0ms
(* (- y z) (/ 1 (- t z)))
55.0ms
(* x (* (- y z) (/ 1 (- t z))))

series136.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ 1 (- t z))
47.0ms
(* (- y z) (/ 1 (- t z)))
58.0ms
(* x (* (- y z) (/ 1 (- t z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0381673
11768564
25001522

prune199.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

3.1% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.4b

bsearch48.0ms

Steps
ItersRangePoint
6
-2.9473620765382864e-201
-4.738015710750703e-202
-5.665755331296606e-202
8
-2.240671028350426e-55
-7.571086503037154e-58
-4.8258266652439225e-56

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample530.0ms

Algorithm
intervals
Results
217.0ms8775×body80valid