Details

Time bar (total: 1.9s)

sample17.0ms

Algorithm
intervals
Results
7.0ms318×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1223
2443
3703
41003
51173
64203
729763
850013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.4b
(/ (* x (- y z)) y)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
12.0ms
(* x (- y z))
11.0ms
(/ (* x (- y z)) y)

series83.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* x (- y z))
46.0ms
(/ (* x (- y z)) y)

simplify47.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0299483
11416328
25001328

prune107.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

2.5b
(/ x (/ y (- y z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
123×times-frac
83×add-sqr-sqrt *-un-lft-identity
59×add-cube-cbrt
21×associate-/r*
12×distribute-lft-out-- difference-of-squares
9×associate-/r/
6×add-exp-log add-cbrt-cube
5×div-inv
4×flip3-- flip--
3×cbrt-undiv div-exp associate-/l*
1×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
1 → 104
Calls
1 calls:
10.0ms
(/ x (/ y (- y z)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ x (/ y (- y z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0459864
12089835
25001832

prune231.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.9b
(* x (/ (- y z) y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
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×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 80
Calls
2 calls:
9.0ms
(/ (- y z) y)
16.0ms
(* x (/ (- y z) y))

series81.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (- y z) y)
50.0ms
(* x (/ (- y z) y))

simplify44.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0270409
11205378
25001377

prune156.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- y z) (/ 1 y))
2.9b
(* x (* (- y z) (/ 1 y)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
20×add-sqr-sqrt
16×add-cbrt-cube
14×*-un-lft-identity associate-*r*
13×prod-exp
11×add-cube-cbrt times-frac
9×pow1
8×associate-*r/ associate-*l*
7×cbrt-unprod
4×frac-times flip3-- div-exp pow-prod-down associate-*l/ flip--
3×unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp 1-exp un-div-inv *-commutative log1p-expm1-u add-log-exp
1×div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 74
Calls
2 calls:
16.0ms
(* (- y z) (/ 1 y))
20.0ms
(* x (* (- y z) (/ 1 y)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- y z) (/ 1 y))
50.0ms
(* x (* (- y z) (/ 1 y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0333393
11473326
25001314

prune132.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes125.0ms

Accuracy

73% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
02427
12727
23318
33618
44218
55318
66018
76118
86118

end0.0ms

sample416.0ms

Algorithm
intervals
Results
222.0ms9596×body80valid