Details

Time bar (total: 5.3s)

sample17.0ms

Algorithm
intervals
Results
7.0ms280×body80valid

simplify56.0ms

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: 1.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.3b
(* (/ (- x y) (- z y)) t)

rewrite29.0ms

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:
12.0ms
(/ (- x y) (- z y))
12.0ms
(* (/ (- x y) (- z y)) t)

series144.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- x y) (- z y))
97.0ms
(* (/ (- x y) (- z y)) t)

simplify102.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune227.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.3b
(* (* 1 (/ (- x y) (- z y))) t)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt *-un-lft-identity
25×times-frac
18×add-exp-log
15×add-cube-cbrt
13×add-cbrt-cube
12×distribute-lft-out-- difference-of-squares
9×prod-exp
7×pow1
5×associate-/r* cbrt-unprod associate-/l*
3×div-exp associate-*r* pow-prod-down
2×cbrt-undiv flip3-- 1-exp associate-/r/ flip-- associate-/l/ add-log-exp
1×frac-2neg div-sub associate-*r/ associate-*l* associate-*l/ clear-num *-commutative div-inv
Counts
2 → 75
Calls
2 calls:
8.0ms
(/ (- x y) (- z y))
13.0ms
(* (* 1 (/ (- x y) (- z y))) t)

series144.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- x y) (- z y))
97.0ms
(* (* 1 (/ (- x y) (- z y))) t)

simplify45.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0348513
11204455
25001455

prune168.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y)))) t)
2.8b
(cbrt (/ (- x y) (- z y)))
2.8b
(cbrt (/ (- x y) (- z y)))
2.8b
(cbrt (/ (- x y) (- z y)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt *-un-lft-identity
93×cbrt-prod
75×times-frac
38×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
15×cbrt-div
13×pow1 add-exp-log
12×associate-*l/
9×add-cbrt-cube
6×pow-prod-down prod-exp associate-/r/ cbrt-unprod
5×frac-times
4×add-log-exp
3×flip3-- pow1/3 associate-*r/ associate-*r* flip-- div-inv
1×associate-*l* *-commutative
Counts
4 → 148
Calls
4 calls:
34.0ms
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y)))) t)
7.0ms
(cbrt (/ (- x y) (- z y)))
7.0ms
(cbrt (/ (- x y) (- z y)))
8.0ms
(cbrt (/ (- x y) (- z y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y)))) t)
316.0ms
(cbrt (/ (- x y) (- z y)))
311.0ms
(cbrt (/ (- x y) (- z y)))
321.0ms
(cbrt (/ (- x y) (- z y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04461805
113111631
250011555

prune462.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
2.8b
(cbrt (/ (- x y) (- z y)))
2.8b
(cbrt (/ (- x y) (- z y)))
2.8b
(cbrt (/ (- x y) (- z y)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
333×*-un-lft-identity
277×cbrt-prod
273×add-sqr-sqrt
229×times-frac
106×distribute-lft-out--
93×add-cube-cbrt
78×difference-of-squares
58×swap-sqr
34×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
41.0ms
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
7.0ms
(cbrt (/ (- x y) (- z y)))
7.0ms
(cbrt (/ (- x y) (- z y)))
7.0ms
(cbrt (/ (- x y) (- z y)))

series1.2s

Counts
4 → 12
Calls
4 calls:
258.0ms
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
301.0ms
(cbrt (/ (- x y) (- z y)))
318.0ms
(cbrt (/ (- x y) (- z y)))
318.0ms
(cbrt (/ (- x y) (- z y)))

simplify80.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05423638
117343570
250013366

prune733.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (2.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144
1164
2164

end0.0ms

sample431.0ms

Algorithm
intervals
Results
218.0ms8735×body80valid