Details

Time bar (total: 3.5s)

sample21.0ms

Algorithm
intervals
Results
10.0ms368×body80valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1785
21795
32775
43755
54885
69775
725115
850025

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.9b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
16.0ms
(* (* z z) (+ z 1.0))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (* z z) (+ z 1.0))
67.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0387405
12384314
25001313

prune110.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.5b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.8b
(/ x (* z z))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 113
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
26.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
3.0ms
(/ x (* z z))

series108.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ y (+ z 1.0))
54.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify61.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0534730
12689629
25003629

prune248.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.6b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.9b
(* (/ x z) (/ y (+ z 1.0)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ associate-/r* associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 155
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
29.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
21.0ms
(* (/ x z) (/ y (+ z 1.0)))

series129.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ y (+ z 1.0))
46.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
51.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify100.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07951149
14362939
25001939

prune510.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

2.9b
(* (/ x z) (/ y (+ z 1.0)))
24.1b
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
24.1b
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
24.1b
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
25×*-un-lft-identity times-frac
21×cbrt-div
19×add-cube-cbrt
18×associate-*r*
16×add-exp-log frac-times associate-*r/ add-cbrt-cube
13×associate-*l*
10×associate-*l/
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-prod pow1/3 distribute-lft-out
2×associate-/r/ div-inv
1×flip3-+ pow-prod-down *-commutative flip-+
Counts
4 → 111
Calls
4 calls:
21.0ms
(* (/ x z) (/ y (+ z 1.0)))
22.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
21.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
20.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))

series482.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (/ x z) (/ y (+ z 1.0)))
147.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
142.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
145.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))

simplify76.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06141215
127901092
250011076

prune418.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes199.0ms

Accuracy

-8.6% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 2.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03017
13017

end0.0ms

sample529.0ms

Algorithm
intervals
Results
309.0ms10781×body80valid