Details

Time bar (total: 4.2s)

sample20.0ms

Algorithm
intervals
Results
7.0ms278×body80valid

simplify64.0ms

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: 2.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.8b
(* (/ (- x y) (- z y)) t)

rewrite72.0ms

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:
21.0ms
(/ (- x y) (- z y))
47.0ms
(* (/ (- x y) (- z y)) t)

series135.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- x y) (- z y))
88.0ms
(* (/ (- x y) (- z y)) t)

simplify93.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune203.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
2.8b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite125.0ms

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:
12.0ms
(/ 1 (- z y))
46.0ms
(* (- x y) (/ 1 (- z y)))
63.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series191.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 1 (- z y))
43.0ms
(* (- x y) (/ 1 (- z y)))
110.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify52.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0392675
11893558
25001516

prune218.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.9b
(* (/ (cbrt (- x y)) (- z y)) t)
5.8b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log add-sqr-sqrt
58×*-un-lft-identity
53×associate-*l*
45×times-frac
36×cbrt-prod
35×add-cbrt-cube
33×prod-exp
28×add-cube-cbrt
20×cbrt-unprod
18×div-exp
15×distribute-lft-out-- difference-of-squares
11×pow1
10×cbrt-undiv
6×1-exp
4×cbrt-div associate-*r* pow-prod-down associate-*l/ add-log-exp
3×flip3-- flip-- unswap-sqr
2×pow1/3 associate-/r/ *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 141
Calls
4 calls:
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))
48.0ms
(* (/ (cbrt (- x y)) (- z y)) t)
96.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series1.3s

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- x y))
144.0ms
(cbrt (- x y))
894.0ms
(* (/ (cbrt (- x y)) (- z y)) t)
90.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify68.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06161348
126021097
25001974

prune379.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
10.3b
(* (- x y) (/ t (- z y)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
10.0ms
(/ t (- z y))
41.0ms
(* (- x y) (/ t (- z y)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ t (- z y))
56.0ms
(* (- x y) (/ t (- z y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0293474
11347437
25002437

prune190.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes242.0ms

Accuracy

29.1% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.2b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912
11912

end0.0ms

sample530.0ms

Algorithm
intervals
Results
215.0ms8702×body80valid