Details

Time bar (total: 4.6s)

sample20.0ms

Algorithm
intervals
Results
8.0ms267×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2654
31564
43024
54704
68654
712434
815454
917054
1017054

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
9.1b
(/ x (* (- y z) (- t z)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
35.0ms
(* (- y z) (- t z))
16.0ms
(/ x (* (- y z) (- t z)))

series132.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (- y z) (- t z))
105.0ms
(/ x (* (- y z) (- t z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0300403
11371359
25001355

prune166.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

2.0b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
37×times-frac
33×*-un-lft-identity
23×add-exp-log
21×associate-*r* associate-*l*
19×add-cube-cbrt
13×add-cbrt-cube
8×div-exp prod-exp
6×distribute-lft-out-- difference-of-squares unswap-sqr
4×cbrt-undiv associate-/r/ cbrt-unprod
3×pow1
2×rec-exp flip3-- 1-exp flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 72
Calls
1 calls:
53.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series179.0ms

Counts
1 → 3
Calls
1 calls:
179.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0435531
11868451
25001431

prune131.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.5b
(* (cbrt (- y z)) (cbrt (- y z)))
0.8b
(/ (/ x (- t z)) (cbrt (- y z)))
1.4b
(* (/ (sqrt 1) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- t z)) (cbrt (- y z))))

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
636×times-frac
521×add-sqr-sqrt
465×*-un-lft-identity
256×cbrt-prod add-cube-cbrt
182×associate-*r*
101×distribute-lft-out--
99×difference-of-squares
47×add-exp-log
46×associate-/r/
32×flip3-- flip--
31×add-cbrt-cube
30×cbrt-div
26×associate-*l*
24×unswap-sqr
21×associate-/l*
20×div-inv
18×cbrt-undiv div-exp
13×pow1 prod-exp sqrt-prod cbrt-unprod
10×swap-sqr
9×frac-times
8×associate-/r*
7×pow1/3
5×associate-*r/ associate-*l/
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up
1×pow2 frac-2neg pow-plus clear-num associate-/l/
Counts
4 → 527
Calls
4 calls:
4.0ms
(cbrt (- y z))
39.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
29.0ms
(/ (/ x (- t z)) (cbrt (- y z)))
177.0ms
(* (/ (sqrt 1) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- t z)) (cbrt (- y z))))

series595.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(cbrt (- y z))
111.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
163.0ms
(/ (/ x (- t z)) (cbrt (- y z)))
189.0ms
(* (/ (sqrt 1) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- t z)) (cbrt (- y z))))

simplify102.0ms

Algorithm
egg-herbie
Counts
539 → 539
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
019617385
150016985

prune1.5s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

2.6b
(/ (/ x (- y z)) (- t z))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
195×times-frac
157×add-sqr-sqrt *-un-lft-identity
77×add-cube-cbrt
40×distribute-lft-out-- difference-of-squares
21×associate-/l*
14×associate-/r/
7×flip3-- flip-- div-inv
6×add-exp-log add-cbrt-cube
5×associate-/r*
3×cbrt-undiv div-exp
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 148
Calls
1 calls:
30.0ms
(/ (/ x (- y z)) (- t z))

series109.0ms

Counts
1 → 3
Calls
1 calls:
109.0ms
(/ (/ x (- y z)) (- t z))

simplify61.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06191547
122641513
250031513

prune290.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes159.0ms

Accuracy

-0.5% (2.1b remaining)

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

bsearch32.0ms

Steps
ItersRangePoint
9
1.1157103331949352e+151
6.36669775372154e+156
7.807870678599475e+151

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms

sample480.0ms

Algorithm
intervals
Results
204.0ms8455×body80valid