Details

Time bar (total: 4.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms280×body80valid

simplify56.0ms

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: 1.4b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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:
8.0ms
(/ (- x y) (- z y))
13.0ms
(* (/ (- x y) (- z y)) t)

series148.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- x y) (- z y))
97.0ms
(* (/ (- x y) (- z y)) t)

simplify96.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune217.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:
50.0ms
(/ (- x y) (- z y))
94.0ms
(* (* 1 (/ (- x y) (- z y))) t)

simplify38.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0348513
11204455
25001455

prune165.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (* 1 (* (* (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)))

rewrite73.0ms

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
27×add-exp-log
19×prod-exp
18×pow1
15×cbrt-div
14×add-cbrt-cube
12×associate-*l/
10×associate-*r/ pow-prod-down cbrt-unprod
6×associate-/r/
5×frac-times
4×add-log-exp
3×flip3-- pow1/3 1-exp associate-*r* flip-- div-inv
1×associate-*l* *-commutative
Counts
4 → 154
Calls
4 calls:
42.0ms
(* (* 1 (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y))))) t)
8.0ms
(cbrt (/ (- x y) (- z y)))
7.0ms
(cbrt (/ (- x y) (- z y)))
7.0ms
(cbrt (/ (- x y) (- z y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (* 1 (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y))))) t)
315.0ms
(cbrt (/ (- x y) (- z y)))
313.0ms
(cbrt (/ (- x y) (- z y)))
305.0ms
(cbrt (/ (- x y) (- z y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05531940
116991660
250011594

prune479.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
1.2b
(* (/ (- x y) (- z y)) (/ (* (cbrt t) (cbrt t)) 1))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
42×*-un-lft-identity
37×add-exp-log
35×times-frac
31×associate-*l*
21×add-cbrt-cube
20×add-cube-cbrt
14×prod-exp
13×div-exp
10×distribute-lft-out-- difference-of-squares
9×cbrt-prod
8×cbrt-unprod
7×cbrt-undiv associate-*r*
6×pow1 unswap-sqr
4×1-exp add-log-exp
3×pow1/3
2×associate-/r/ div-inv
1×frac-times flip3-- associate-*r/ pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 105
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
23.0ms
(* (/ (- x y) (- z y)) (/ (* (cbrt t) (cbrt t)) 1))

series766.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(cbrt t)
175.0ms
(cbrt t)
179.0ms
(cbrt t)
210.0ms
(* (/ (- x y) (- z y)) (/ (* (cbrt t) (cbrt t)) 1))

simplify52.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0480840
12056651
25002615

prune269.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (2.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144
1164
2164

end0.0ms

sample613.0ms

Algorithm
intervals
Results
401.0ms8735×body80valid