Details

Time bar (total: 4.2s)

sample18.0ms

Algorithm
intervals
Results
6.0ms278×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1254
2494
3784
41164
51414
61624
71754
81834
91874
101914
113024
123404
133664
144644
155334
166154
177214
188154
198244
208244

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

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 expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
22.0ms
(/ (- x y) (- z y))
44.0ms
(* (/ (- x y) (- z y)) t)

series129.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- x y) (- z y))
85.0ms
(* (/ (- x y) (- z y)) t)

simplify97.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune209.0ms

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)

rewrite123.0ms

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 expm1-log1p-u rec-exp 1-exp log1p-expm1-u 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 → 125
Calls
3 calls:
11.0ms
(/ 1 (- z y))
44.0ms
(* (- x y) (/ 1 (- z y)))
63.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series161.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ 1 (- z y))
44.0ms
(* (- x y) (/ 1 (- z y)))
86.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify52.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0402702
11906585
25003543

prune223.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite154.0ms

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×expm1-log1p-u cbrt-div associate-*r* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×flip3-- flip-- unswap-sqr
2×pow1/3 associate-/r/ *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 149
Calls
4 calls:
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))
49.0ms
(* (/ (cbrt (- x y)) (- z y)) t)
91.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series1.2s

Counts
4 → 12
Calls
4 calls:
132.0ms
(cbrt (- x y))
138.0ms
(cbrt (- x y))
863.0ms
(* (/ (cbrt (- x y)) (- z y)) t)
95.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify71.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06281397
126411130
250021023

prune379.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

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 expm1-log1p-u frac-times div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
13.0ms
(/ t (- z y))
41.0ms
(* (- x y) (/ t (- z y)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ t (- z y))
57.0ms
(* (- x y) (/ t (- z y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0301489
11365452
25001452

prune228.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes261.0ms

Accuracy

29.1% (1.5b remaining)

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

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912
11912

end0.0ms

sample500.0ms

Algorithm
intervals
Results
202.0ms8702×body80valid