Details

Time bar (total: 5.0s)

sample23.0ms

Algorithm
intervals
Results
12.0ms266×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 2.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.1b
(* (/ (- x y) (- z y)) t)

rewrite41.0ms

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:
13.0ms
(/ (- x y) (- z y))
23.0ms
(* (/ (- x y) (- z y)) t)

series144.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- x y) (- z y))
98.0ms
(* (/ (- x y) (- z y)) t)

simplify105.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune228.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))

series596.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (- z y))
150.0ms
(cbrt (- x y))
143.0ms
(cbrt (- x y))
153.0ms
(cbrt (- x y))

simplify168.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 4 (162.0ms)

IterNodesCost
0228428
1487408
21327396
34616372
45001364

prune268.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
7.0b
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
82×add-exp-log
44×prod-exp
31×add-cbrt-cube
19×div-exp
18×cbrt-div cbrt-unprod
15×cbrt-prod add-sqr-sqrt *-un-lft-identity associate-*l*
9×pow1 cbrt-undiv add-cube-cbrt flip3-- flip--
8×associate-/r/
6×rec-exp 1-exp
5×frac-times associate-*l/
4×add-log-exp
3×times-frac pow1/3 associate-*r/ pow-prod-down distribute-lft-out-- difference-of-squares
1×associate-*r* *-commutative div-inv
Counts
4 → 104
Calls
4 calls:
2.0ms
(cbrt (- z y))
4.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))
81.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

series589.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (- z y))
151.0ms
(cbrt (- z y))
150.0ms
(cbrt (- z y))
144.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

simplify71.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05131205
12175953
25003818

prune292.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
2.8b
(* (sqrt (/ 1 (* (cbrt (- z y)) (cbrt (- z y))))) (* (/ (- x y) (cbrt (- z y))) t))
4.4b
(* (sqrt (/ 1 (* (cbrt (- z y)) (cbrt (- z y))))) (* (sqrt (/ 1 (* (cbrt (- z y)) (cbrt (- z y))))) (* (/ (- x y) (cbrt (- z y))) t)))

rewrite363.0ms

Algorithm
rewrite-expression-head
Rules
36×associate-*l*
30×sqrt-prod
28×cbrt-div
27×add-exp-log
25×add-cbrt-cube
18×pow1
16×add-sqr-sqrt *-un-lft-identity associate-/r/
14×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod
12×add-cube-cbrt
10×cbrt-prod sqrt-div associate-*r/
9×pow-prod-down
6×times-frac
4×add-log-exp
2×cbrt-undiv pow1/3 div-exp associate-*r* *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 113
Calls
4 calls:
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))
84.0ms
(* (sqrt (/ 1 (* (cbrt (- z y)) (cbrt (- z y))))) (* (/ (- x y) (cbrt (- z y))) t))
270.0ms
(* (sqrt (/ 1 (* (cbrt (- z y)) (cbrt (- z y))))) (* (sqrt (/ 1 (* (cbrt (- z y)) (cbrt (- z y))))) (* (/ (- x y) (cbrt (- z y))) t)))

series546.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (- z y))
143.0ms
(cbrt (- z y))
96.0ms
(* (sqrt (/ 1 (* (cbrt (- z y)) (cbrt (- z y))))) (* (/ (- x y) (cbrt (- z y))) t))
152.0ms
(* (sqrt (/ 1 (* (cbrt (- z y)) (cbrt (- z y))))) (* (sqrt (/ 1 (* (cbrt (- z y)) (cbrt (- z y))))) (* (/ (- x y) (cbrt (- z y))) t)))

simplify64.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05351751
118631470
250011444

prune431.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes232.0ms

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

sample640.0ms

Algorithm
intervals
Results
405.0ms8701×body80valid