Details

Time bar (total: 4.2s)

sample18.0ms

Algorithm
intervals
Results
7.0ms286×body80valid

simplify53.0ms

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: 1.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.8b
(* (/ (- x y) (- z y)) t)

rewrite24.0ms

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

series146.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- x y) (- z y))
100.0ms
(* (/ (- x y) (- z y)) t)

simplify99.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune222.0ms

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
(/ (- z y) (- x y))
0.2b
(/ 1 (/ (- z y) (- x y)))
1.8b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*r* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 326
Calls
3 calls:
8.0ms
(/ (- z y) (- x y))
12.0ms
(/ 1 (/ (- z y) (- x y)))
29.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series342.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- z y) (- x y))
137.0ms
(/ 1 (/ (- z y) (- x y)))
158.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify104.0ms

Algorithm
egg-herbie
Counts
335 → 335
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08742680
141882394
250012171

prune577.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
1.7b
(/ t (/ (- z y) (- x y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
8.0ms
(/ (- z y) (- x y))
12.0ms
(/ t (/ (- z y) (- x y)))

series206.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- z y) (- x y))
150.0ms
(/ t (/ (- z y) (- x y)))

simplify75.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06331784
128631733
250011730

prune531.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (- x y)) (/ y (- x y)))
0.0b
(/ y (- x y))
0.0b
(/ z (- x y))
1.7b
(/ t (- (/ z (- x y)) (/ y (- x y))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
174×times-frac
153×add-sqr-sqrt
68×distribute-lft-out--
57×add-cube-cbrt
38×difference-of-squares
28×associate-/r* associate-/r/
15×distribute-rgt-out--
14×flip3-- flip--
13×div-inv
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp
4×pow1
3×cbrt-undiv frac-2neg div-exp clear-num
2×frac-sub sub-div
1×sub-neg diff-log
Counts
4 → 194
Calls
4 calls:
31.0ms
(- (/ z (- x y)) (/ y (- x y)))
5.0ms
(/ y (- x y))
5.0ms
(/ z (- x y))
31.0ms
(/ t (- (/ z (- x y)) (/ y (- x y))))

series250.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (/ z (- x y)) (/ y (- x y)))
43.0ms
(/ y (- x y))
33.0ms
(/ z (- x y))
105.0ms
(/ t (- (/ z (- x y)) (/ y (- x y))))

simplify58.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05091610
119111560
250021544

prune590.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

-6% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.3b

bsearch80.0ms

Steps
ItersRangePoint
10
7.915794707770922e-83
7.77049594483986e-69
6.040132035498299e-75
7
-1.0848787444486153e-160
-5.723183354001865e-163
-9.391012596131441e-161

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03013
13013

end0.0ms

sample474.0ms

Algorithm
intervals
Results
233.0ms8716×body80valid