Details

Time bar (total: 6.8s)

sample18.0ms

Algorithm
intervals
Results
7.0ms270×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1405
2805
31745
43695
55035
67695
711915
814515
916065
1016065

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ x (* (- y z) (- y t))))
0.0b
(* (- y z) (- y t))
8.4b
(/ x (* (- y z) (- y t)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×flip3-- *-un-lft-identity flip--
10×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
7×add-cube-cbrt
5×pow1 associate-*r* associate-*l* add-log-exp
4×associate-*r/ associate-*l/
3×sub-neg times-frac associate-/l* distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod
1×frac-2neg diff-log pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
3 → 77
Calls
3 calls:
8.0ms
(- 1.0 (/ x (* (- y z) (- y t))))
9.0ms
(* (- y z) (- y t))
9.0ms
(/ x (* (- y z) (- y t)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(- 1.0 (/ x (* (- y z) (- y t))))
25.0ms
(* (- y z) (- y t))
59.0ms
(/ x (* (- y z) (- y t)))

simplify42.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0361530
11551485
25001485

prune245.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
0.0b
(/ 1 (- y z))
0.0b
(/ x (- y t))
1.6b
(* (/ 1 (- y z)) (/ x (- y t)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
87×add-sqr-sqrt
72×*-un-lft-identity
67×times-frac
42×add-cube-cbrt
32×add-exp-log
21×associate-*r* associate-*l*
20×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
7×pow1
6×cbrt-undiv associate-/l* add-log-exp unswap-sqr
5×flip3-- flip--
4×cbrt-unprod div-inv
3×rec-exp 1-exp
2×frac-2neg clear-num
1×frac-times sub-neg pow-flip diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 162
Calls
4 calls:
3.0ms
(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
5.0ms
(/ 1 (- y z))
5.0ms
(/ x (- y t))
23.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

series257.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
33.0ms
(/ 1 (- y z))
32.0ms
(/ x (- y t))
128.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

simplify67.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05801034
12660919
25002887

prune372.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(* (/ (sqrt 1) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- y t)) (cbrt (- y z))))
1.1b
(/ (/ x (- y t)) (cbrt (- y z)))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
636×times-frac
500×add-sqr-sqrt
446×*-un-lft-identity
249×add-cube-cbrt
233×cbrt-prod
174×associate-*r*
96×distribute-lft-out-- difference-of-squares
46×associate-/r/
45×add-exp-log
31×add-cbrt-cube
27×flip3-- flip--
21×associate-/l*
20×cbrt-div div-inv unswap-sqr
18×cbrt-undiv div-exp associate-*l*
13×sqrt-prod
12×prod-exp cbrt-unprod
8×associate-/r*
6×pow1
5×frac-times
4×add-log-exp
3×associate-*r/ associate-*l/
2×pow1/3
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/
Counts
4 → 486
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
101.0ms
(* (/ (sqrt 1) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- y t)) (cbrt (- y z))))
14.0ms
(/ (/ x (- y t)) (cbrt (- y z)))

series557.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- y z))
148.0ms
(cbrt (- y z))
128.0ms
(* (/ (sqrt 1) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- y t)) (cbrt (- y z))))
134.0ms
(/ (/ x (- y t)) (cbrt (- y z)))

simplify92.0ms

Algorithm
egg-herbie
Counts
498 → 498
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
018047033
150016690

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.7b
(* (/ (* (* (cbrt x) (cbrt x)) 1) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ (cbrt x) (- y t)) (cbrt (- y z))))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
539×times-frac
415×add-sqr-sqrt
391×*-un-lft-identity
320×cbrt-prod
294×associate-*r*
217×add-cube-cbrt
172×add-exp-log
87×distribute-lft-out-- difference-of-squares
84×prod-exp
63×div-exp
61×add-cbrt-cube
48×cbrt-unprod
39×cbrt-undiv
26×associate-/r/
20×cbrt-div
18×flip3-- flip--
13×associate-*l*
12×1-exp
10×div-inv
7×unswap-sqr
6×pow1
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 425
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
119.0ms
(* (/ (* (* (cbrt x) (cbrt x)) 1) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ (cbrt x) (- y t)) (cbrt (- y z))))

series697.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (- y z))
319.0ms
(cbrt (- y z))
150.0ms
(cbrt (- y z))
85.0ms
(* (/ (* (* (cbrt x) (cbrt x)) 1) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ (cbrt x) (- y t)) (cbrt (- y z))))

simplify99.0ms

Algorithm
egg-herbie
Counts
437 → 437
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
024407855
150027500

prune1.5s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes165.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02218
12418
22418

end0.0ms

sample471.0ms

Algorithm
intervals
Results
247.0ms8452×body80valid