Details

Time bar (total: 5.3s)

sample293.0ms

Algorithm
intervals
Results
22.0ms448×body80valid
11.0ms448×pre80true

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1406
21126
33936
413446
540726
650016

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
7×flip3-- flip--
5×associate-*r* associate-*l*
4×pow1 frac-times associate-*r/
3×times-frac associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u associate-/l/ distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 79
Calls
2 calls:
10.0ms
(/ (* m (- 1.0 m)) v)
65.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series84.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (* m (- 1.0 m)) v)
44.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify66.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0438915
12203748
25001742

prune144.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
130×add-sqr-sqrt
121×*-un-lft-identity
85×add-cube-cbrt
26×associate-/r*
20×difference-of-squares
18×prod-diff distribute-lft-out--
12×add-exp-log add-cbrt-cube
11×distribute-rgt-in flip3-- distribute-lft-in associate-/r/ flip--
7×associate-*l*
6×div-inv associate-/l*
5×pow1 associate-*r*
4×cbrt-undiv frac-times div-exp
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×sub-neg frac-2neg associate-*r/ associate-*l/ clear-num
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 199
Calls
3 calls:
5.0ms
(/ v (- 1.0 m))
11.0ms
(/ m (/ v (- 1.0 m)))
208.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series108.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ v (- 1.0 m))
39.0ms
(/ m (/ v (- 1.0 m)))
35.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify111.0ms

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
07741889
140241694
250011693

prune408.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.0b
(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
12.7b
(/ (pow m 2) v)

rewrite263.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
54×*-un-lft-identity
49×add-cube-cbrt times-frac
46×prod-diff
21×unpow-prod-down
11×distribute-rgt-in distribute-lft-in
10×add-exp-log
8×associate-/l* unpow2
7×flip3-- add-cbrt-cube flip-- sqr-pow
5×pow1 associate-*r* associate-*l* add-log-exp
4×frac-times associate-*r/
3×expm1-log1p-u sub-neg div-exp associate-/r* log1p-expm1-u
2×associate-*l/ div-inv distribute-lft-out-- difference-of-squares
1×cbrt-undiv pow-to-exp distribute-rgt-out-- frac-2neg fma-neg diff-log pow-prod-down pow-exp prod-exp clear-num *-commutative frac-sub cbrt-unprod sub-div unswap-sqr
Counts
3 → 151
Calls
3 calls:
14.0ms
(- (* 1.0 (/ m v)) (/ (pow m 2) v))
238.0ms
(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
4.0ms
(/ (pow m 2) v)

series89.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (* 1.0 (/ m v)) (/ (pow m 2) v))
34.0ms
(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
19.0ms
(/ (pow m 2) v)

simplify116.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
09452026
138581510
250011505

prune290.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ v (- 1.0 m))
0.0b
(/ (/ v (- 1.0 m)) m)
0.0b
(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) (- 1.0 m))
0.3b
(/ 1 (/ (/ v (- 1.0 m)) m))

rewrite604.0ms

Algorithm
rewrite-expression-head
Rules
783×times-frac
481×add-sqr-sqrt
462×*-un-lft-identity
350×add-cube-cbrt
75×associate-/r*
60×difference-of-squares
55×distribute-lft-out--
35×associate-/r/
34×add-exp-log
27×associate-/l*
24×div-inv
23×flip3-- flip--
22×add-cbrt-cube
19×div-exp
18×prod-diff
12×associate-*l*
11×distribute-rgt-in distribute-lft-in
10×cbrt-undiv
7×pow1
5×associate-*r*
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×rec-exp frac-2neg 1-exp clear-num
2×sub-neg associate-*r/ associate-*l/
1×pow-flip pow-prod-down prod-exp *-commutative cbrt-unprod associate-/l/ inv-pow unswap-sqr
Counts
4 → 502
Calls
4 calls:
7.0ms
(/ v (- 1.0 m))
12.0ms
(/ (/ v (- 1.0 m)) m)
527.0ms
(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) (- 1.0 m))
21.0ms
(/ 1 (/ (/ v (- 1.0 m)) m))

series167.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ v (- 1.0 m))
43.0ms
(/ (/ v (- 1.0 m)) m)
41.0ms
(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) (- 1.0 m))
50.0ms
(/ 1 (/ (/ v (- 1.0 m)) m))

simplify88.0ms

Algorithm
egg-herbie
Counts
514 → 514
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017655475
150014719

prune773.0ms

Pruning

4 alts after pruning (2 fresh and 2 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

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148
1148

end0.0ms

sample1.2s

Algorithm
intervals
Results
666.0ms13716×body80valid
299.0ms13716×pre80true