Details

Time bar (total: 5.2s)

sample333.0ms

Algorithm
intervals
Results
10.0ms435×body80valid
6.0ms435×pre80true

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1406
21056
33546
411026
531896
650026

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* m (- 1.0 m))
0.0b
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
0.0b
(/ (* m (- 1.0 m)) v)

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×*-un-lft-identity
12×add-exp-log add-cbrt-cube
10×associate-*r*
9×add-cube-cbrt
8×flip3-- associate-*l* flip--
7×pow1
6×associate-*r/
4×distribute-rgt-in frac-times sub-neg distribute-lft-in
3×times-frac prod-exp associate-/r* cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative associate-/l/ unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
3 → 83
Calls
3 calls:
24.0ms
(* m (- 1.0 m))
93.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
21.0ms
(/ (* m (- 1.0 m)) v)

series137.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* m (- 1.0 m))
38.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
48.0ms
(/ (* m (- 1.0 m)) v)

simplify60.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0389602
11946551
25003545

prune171.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1.0 m) (* (- m) m))
0.0b
(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))
0.0b
(/ (+ (* 1.0 m) (* (- m) m)) v)

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
18×*-un-lft-identity
14×add-cube-cbrt
13×times-frac
7×add-exp-log add-cbrt-cube
6×flip3-- associate-*l* flip--
5×pow1 distribute-rgt-out associate-*r* add-log-exp
4×distribute-lft-neg-out frac-times associate-/l*
3×associate-/r* difference-of-squares
2×distribute-rgt-in sub-neg distribute-lft-in flip3-+ div-sub associate-*r/ unsub-neg associate-*l/ flip-+ associate-/l/ distribute-lft-out--
1×cbrt-undiv +-commutative frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 84
Calls
3 calls:
8.0ms
(+ (* 1.0 m) (* (- m) m))
178.0ms
(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))
26.0ms
(/ (+ (* 1.0 m) (* (- m) m)) v)

series142.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ (* 1.0 m) (* (- m) m))
39.0ms
(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))
48.0ms
(/ (+ (* 1.0 m) (* (- m) m)) v)

simplify59.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0415891
11954796
25001782

prune202.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (- 1.0 m))
0.0b
(* (- (* 1 (/ m (/ v (- 1.0 m)))) 1.0) (- 1.0 m))
0.1b
(/ m (/ v (- 1.0 m)))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
109×add-sqr-sqrt
108×*-un-lft-identity
73×add-cube-cbrt
26×associate-/r*
18×distribute-lft-out--
17×difference-of-squares
12×add-exp-log add-cbrt-cube
11×flip3-- associate-/r/ flip--
6×div-inv associate-/l*
5×pow1 associate-*r*
4×cbrt-undiv frac-times div-exp associate-*l*
3×add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in associate-*r/ associate-*l/ clear-num
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 172
Calls
3 calls:
13.0ms
(/ v (- 1.0 m))
96.0ms
(* (- (* 1 (/ m (/ v (- 1.0 m)))) 1.0) (- 1.0 m))
18.0ms
(/ m (/ v (- 1.0 m)))

series113.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ v (- 1.0 m))
40.0ms
(* (- (* 1 (/ m (/ v (- 1.0 m)))) 1.0) (- 1.0 m))
39.0ms
(/ m (/ v (- 1.0 m)))

simplify96.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
06891485
134861403
250021401

prune417.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ v (- (* 1.0 1.0) (* m m)))
0.0b
(/ m (/ v (- (* 1.0 1.0) (* m m))))
0.0b
(* (- (* 1 (/ (/ m (/ v (- (* 1.0 1.0) (* m m)))) (+ 1.0 m))) 1.0) (- 1.0 m))
0.1b
(/ (/ m (/ v (- (* 1.0 1.0) (* m m)))) (+ 1.0 m))

rewrite314.0ms

Algorithm
rewrite-expression-head
Rules
800×times-frac
464×*-un-lft-identity
345×add-sqr-sqrt
341×add-cube-cbrt
65×associate-/l*
62×difference-of-squares
60×distribute-lft-out
48×associate-/r/
27×div-inv
26×flip3-- associate-/r* flip--
22×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
6×pow1
5×associate-*r*
4×frac-times associate-*l* add-log-exp
3×frac-2neg clear-num
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate-*l/ distribute-lft-out--
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ associate-/l/ unswap-sqr
Counts
4 → 474
Calls
4 calls:
14.0ms
(/ v (- (* 1.0 1.0) (* m m)))
22.0ms
(/ m (/ v (- (* 1.0 1.0) (* m m))))
183.0ms
(* (- (* 1 (/ (/ m (/ v (- (* 1.0 1.0) (* m m)))) (+ 1.0 m))) 1.0) (- 1.0 m))
56.0ms
(/ (/ m (/ v (- (* 1.0 1.0) (* m m)))) (+ 1.0 m))

series255.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(/ v (- (* 1.0 1.0) (* m m)))
52.0ms
(/ m (/ v (- (* 1.0 1.0) (* m m))))
62.0ms
(* (- (* 1 (/ (/ m (/ v (- (* 1.0 1.0) (* m m)))) (+ 1.0 m))) 1.0) (- 1.0 m))
77.0ms
(/ (/ m (/ v (- (* 1.0 1.0) (* m m)))) (+ 1.0 m))

simplify97.0ms

Algorithm
egg-herbie
Counts
486 → 486
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
018166982
150016794

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02011
12211
22211

end0.0ms

sample814.0ms

Algorithm
intervals
Results
312.0ms13652×body80valid
174.0ms13652×pre80true