Details

Time bar (total: 6.9s)

sample17.0ms

Algorithm
intervals
Results
7.0ms270×body80valid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1405
2845
32005
44635
57085
612615
718545
824465
928115
1028135
1128135

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)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
63×prod-diff
49×add-sqr-sqrt
47×*-un-lft-identity
41×add-cube-cbrt
32×associate-/r/
31×flip3-- flip--
20×frac-times
12×times-frac
11×distribute-rgt-in distribute-lft-in
10×add-exp-log associate-*r/ associate-*l/ add-cbrt-cube
5×pow1 associate-*r* associate-*l* add-log-exp
4×div-inv
3×expm1-log1p-u sub-neg fma-neg log1p-expm1-u associate-/l* distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp cbrt-unprod
1×frac-2neg diff-log pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
3 → 149
Calls
3 calls:
12.0ms
(- 1.0 (/ x (* (- y z) (- y t))))
10.0ms
(* (- y z) (- y t))
9.0ms
(/ x (* (- y z) (- y t)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- 1.0 (/ x (* (- y z) (- y t))))
29.0ms
(* (- y z) (- y t))
56.0ms
(/ x (* (- y z) (- y t)))

simplify95.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07392495
133041795
250011771

prune325.0ms

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)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
89×add-sqr-sqrt
74×*-un-lft-identity
67×times-frac
44×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×expm1-log1p-u cbrt-unprod log1p-expm1-u div-inv
3×rec-exp fma-neg 1-exp prod-diff
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 → 176
Calls
4 calls:
3.0ms
(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
5.0ms
(/ 1 (- y z))
5.0ms
(/ x (- y t))
21.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
35.0ms
(/ 1 (- y z))
28.0ms
(/ x (- y t))
130.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

simplify67.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06151149
127451014
25002977

prune394.0ms

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)))

rewrite136.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r/ associate-*l/
2×pow1/3
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/
Counts
4 → 494
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
83.0ms
(* (/ (sqrt 1) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- y t)) (cbrt (- y z))))
14.0ms
(/ (/ x (- y t)) (cbrt (- y z)))

series560.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- y z))
150.0ms
(cbrt (- y z))
127.0ms
(* (/ (sqrt 1) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- y t)) (cbrt (- y z))))
134.0ms
(/ (/ x (- y t)) (cbrt (- y z)))

simplify94.0ms

Algorithm
egg-herbie
Counts
506 → 506
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
018247085
150016748

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))))

rewrite160.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 433
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
113.0ms
(* (/ (* (* (cbrt x) (cbrt x)) 1) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ (cbrt x) (- y t)) (cbrt (- y z))))

series523.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- y z))
148.0ms
(cbrt (- y z))
144.0ms
(cbrt (- y z))
83.0ms
(* (/ (* (* (cbrt x) (cbrt x)) 1) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ (cbrt x) (- y t)) (cbrt (- y z))))

simplify103.0ms

Algorithm
egg-herbie
Counts
445 → 445
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
024497909
150017554

prune1.6s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes157.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02218
12418
22418

end0.0ms

sample445.0ms

Algorithm
intervals
Results
242.0ms8452×body80valid