Details

Time bar (total: 3.5s)

sample26.0ms

Algorithm
intervals
Results
16.0ms280×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: 3.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
3.0b
(* (/ (- 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:
10.0ms
(/ (- x y) (- z y))
24.0ms
(* (/ (- x y) (- z y)) t)

series138.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- x y) (- z y))
92.0ms
(* (/ (- x y) (- z y)) t)

simplify97.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune214.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.5b
(cbrt (- z y))
1.2b
(* (/ (- x y) (cbrt (- z y))) t)
5.4b
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
66×add-sqr-sqrt
61×associate-*l*
58×*-un-lft-identity
46×prod-exp
45×times-frac
36×cbrt-prod
35×add-cbrt-cube
28×add-cube-cbrt
20×div-exp cbrt-unprod
18×cbrt-div
15×distribute-lft-out-- difference-of-squares
11×pow1
10×cbrt-undiv associate-/r/
9×flip3-- flip--
6×rec-exp 1-exp associate-*l/
5×frac-times
4×associate-*r* pow-prod-down add-log-exp
3×associate-*r/ unswap-sqr
2×pow1/3 *-commutative div-inv
Counts
4 → 155
Calls
4 calls:
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))
29.0ms
(* (/ (- x y) (cbrt (- z y))) t)
87.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

series696.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (- z y))
145.0ms
(cbrt (- z y))
247.0ms
(* (/ (- x y) (cbrt (- z y))) t)
149.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

simplify77.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07241586
126671300
250021168

prune418.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x y) t)
9.9b
(/ (* (- x y) t) (- z y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*l* associate-/r*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
9.0ms
(* (- x y) t)
9.0ms
(/ (* (- x y) t) (- z y))

series92.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (- x y) t)
64.0ms
(/ (* (- x y) t) (- z y))

simplify36.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0256263
11188226
25001226

prune116.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
10.7b
(* (- x y) (/ t (- z y)))

rewrite31.0ms

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:
5.0ms
(/ t (- z y))
23.0ms
(* (- x y) (/ t (- z y)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ t (- z y))
65.0ms
(* (- x y) (/ t (- z y)))

simplify40.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0293474
11347437
25002437

prune171.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes210.0ms

Accuracy

19.9% (1.8b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02120
12120

end0.0ms

sample736.0ms

Algorithm
intervals
Results
519.0ms8681×body80valid