Details

Time bar (total: 4.2s)

sample18.0ms

Algorithm
intervals
Results
6.0ms284×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1254
2494
3724
41054
51224
61394
71494
81564
91604
101644
112594
122974
133194
144054
154744
165324
176264
187024
197114
207114

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
3.6b
(* (/ (- x y) (- z y)) t)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
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-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
20.0ms
(/ (- x y) (- z y))
44.0ms
(* (/ (- x y) (- z y)) t)

series134.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- x y) (- z y))
87.0ms
(* (/ (- x y) (- z y)) t)

simplify95.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune204.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x y)) (cbrt (- x y)))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
39.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
4.0ms
(cbrt (- z y))
4.0ms
(cbrt (- z y))
4.0ms
(cbrt (- z y))

series529.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
134.0ms
(cbrt (- z y))
140.0ms
(cbrt (- z y))
135.0ms
(cbrt (- z y))

simplify156.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0314760
11029723
24812670
35001670

prune341.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z y))
0.6b
(cbrt (cbrt (- z y)))
0.6b
(cbrt (cbrt (- z y)))
0.6b
(cbrt (cbrt (- z y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-prod
19×add-sqr-sqrt *-un-lft-identity
14×cbrt-div
11×add-cube-cbrt
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 69
Calls
4 calls:
4.0ms
(cbrt (- z y))
5.0ms
(cbrt (cbrt (- z y)))
4.0ms
(cbrt (cbrt (- z y)))
5.0ms
(cbrt (cbrt (- z y)))

series745.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (- z y))
135.0ms
(cbrt (cbrt (- z y)))
137.0ms
(cbrt (cbrt (- z y)))
332.0ms
(cbrt (cbrt (- z y)))

simplify169.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 4 (162.0ms)

IterNodesCost
0222572
1474546
21310534
34603510
45001493

prune326.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
3.6b
(* (* (- x y) (/ 1 (- z y))) t)

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 associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp associate-*l* flip--
5×associate-/r*
4×frac-times pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×associate-*r/ un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
11.0ms
(/ 1 (- z y))
43.0ms
(* (- x y) (/ 1 (- z y)))
61.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series163.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ 1 (- z y))
46.0ms
(* (- x y) (/ 1 (- z y)))
86.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify50.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0392675
11893558
25001516

prune190.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01618
11618

end0.0ms

sample498.0ms

Algorithm
intervals
Results
205.0ms8745×body80valid