Details

Time bar (total: 2.9s)

sample23.0ms

Algorithm
intervals
Results
13.0ms281×body80valid

simplify55.0ms

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: 9.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
8.6b
(/ (* x (- y z)) (- t z))

rewrite22.0ms

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:
12.0ms
(* x (- y z))
9.0ms
(/ (* x (- y z)) (- t z))

series97.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* x (- y z))
61.0ms
(/ (* x (- y z)) (- t z))

simplify34.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0264276
11209239
25001239

prune104.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.4b
(* 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))
23.0ms
(* x (/ (- y z) (- t z)))

series108.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- y z) (- t z))
60.0ms
(* x (/ (- y z) (- t z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0349647
11396606
25001606

prune190.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- t z))
0.0b
(- (/ y (- t z)) (/ z (- t z)))
2.4b
(* x (- (/ y (- t z)) (/ z (- t z))))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity
61×add-sqr-sqrt
51×times-frac
28×distribute-lft-out--
19×add-cube-cbrt
18×associate-*r*
16×difference-of-squares
10×associate-/r/
7×add-exp-log flip3-- add-cbrt-cube flip--
6×distribute-rgt-out--
5×pow1 associate-/r* div-inv add-log-exp
4×associate-*r/
3×sub-neg associate-*l* associate-/l*
2×distribute-rgt-in distribute-lft-in frac-sub sub-div
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 107
Calls
3 calls:
5.0ms
(/ y (- t z))
49.0ms
(- (/ y (- t z)) (/ z (- t z)))
146.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))

series166.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ y (- t z))
62.0ms
(- (/ y (- t z)) (/ z (- t z)))
78.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))

simplify112.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0374712
11352666
24957666
35002666

prune227.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- t z))
0.0b
(+ (* x (/ y (- t z))) (* x (- (/ z (- t z)))))
2.0b
(* x (- (/ z (- t z))))
6.2b
(* x (/ y (- t z)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
70×*-un-lft-identity
67×associate-*r*
61×times-frac
44×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
8×pow1 associate-/r/
6×associate-*l* add-log-exp
5×associate-/r*
4×flip3-- associate-*r/ flip-- div-inv
3×prod-exp distribute-rgt-neg-out cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 155
Calls
4 calls:
5.0ms
(/ y (- t z))
6.0ms
(+ (* x (/ y (- t z))) (* x (- (/ z (- t z)))))
34.0ms
(* x (- (/ z (- t z))))
15.0ms
(* x (/ y (- t z)))

series184.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ y (- t z))
80.0ms
(+ (* x (/ y (- t z))) (* x (- (/ z (- t z)))))
35.0ms
(* x (- (/ z (- t z))))
43.0ms
(* x (/ y (- t z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0547873
12488808
25001807

prune347.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (2.2b remaining)

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

bsearch73.0ms

Steps
ItersRangePoint
5
5.337252661687364e-27
1.1668673414757802e-26
1.038708461950015e-26
10
-4.9965332771406725e-158
-1.2135443541276661e-169
-2.5436316420242378e-164

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03614
14314
24514
34514

end0.0ms

sample640.0ms

Algorithm
intervals
Results
415.0ms8714×body80valid