Details

Time bar (total: 3.7s)

sample16.0ms

Algorithm
intervals
Results
6.0ms265×body80valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1676
21456
32416
43016
53556
63966
74446
85296
97446
1022186
1150016

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.3b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×add-cube-cbrt swap-sqr distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-*r/ div-exp associate-*r* associate-*l* associate-*l/
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in frac-2neg distribute-lft-in times-frac pow-plus distribute-frac-neg pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 74
Calls
2 calls:
32.0ms
(* (+ t1 u) (+ t1 u))
24.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(* (+ t1 u) (+ t1 u))
68.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0390509
12114426
25002422

prune125.0ms

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
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
1.9b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
108×times-frac
81×add-sqr-sqrt
69×add-cube-cbrt
46×associate-*l*
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
19×add-exp-log add-cbrt-cube
18×associate-*r*
13×associate-/l*
9×neg-mul-1
8×associate-/r* associate-/r/
6×cbrt-undiv div-exp
5×pow1
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg distribute-frac-neg clear-num
1×distribute-lft-neg-out neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 198
Calls
3 calls:
13.0ms
(/ (- t1) (+ t1 u))
11.0ms
(/ v (+ t1 u))
64.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series172.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (- t1) (+ t1 u))
22.0ms
(/ v (+ t1 u))
113.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify65.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06021313
127281228
250021224

prune363.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ 1 (+ t1 u))
0.4b
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
8.8b
(* (- t1) (/ v (+ t1 u)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
54×add-exp-log
49×times-frac
46×add-sqr-sqrt
41×add-cube-cbrt
36×associate-*r*
34×add-cbrt-cube
22×prod-exp
14×div-exp distribute-lft-out
12×pow1 cbrt-unprod
11×associate-*l*
8×cbrt-undiv associate-/r* associate-/r/
6×associate-/l*
4×expm1-log1p-u rec-exp flip3-+ 1-exp associate-*r/ pow-prod-down flip-+ log1p-expm1-u div-inv add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in
2×frac-2neg clear-num *-commutative unswap-sqr
1×frac-times neg-mul-1 pow-flip associate-*l/ un-div-inv inv-pow
Counts
4 → 175
Calls
4 calls:
11.0ms
(/ v (+ t1 u))
13.0ms
(/ 1 (+ t1 u))
62.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
31.0ms
(* (- t1) (/ v (+ t1 u)))

series173.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ v (+ t1 u))
34.0ms
(/ 1 (+ t1 u))
71.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
45.0ms
(* (- t1) (/ v (+ t1 u)))

simplify79.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
05551073
13368922
25001887

prune301.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ t1 u) t1)
0.0b
(/ v (+ t1 u))
0.1b
(/ (- 1) (/ (+ t1 u) t1))
1.9b
(* (/ (- 1) (/ (+ t1 u) t1)) (/ v (+ t1 u)))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
617×times-frac
446×*-un-lft-identity
319×add-sqr-sqrt
298×add-cube-cbrt
165×associate-*l*
99×distribute-lft-neg-in distribute-rgt-neg-in
74×distribute-lft-out
34×add-exp-log add-cbrt-cube
33×neg-mul-1
26×div-inv
23×associate-/r*
18×associate-*r*
17×associate-/l*
14×cbrt-undiv div-exp
6×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg flip3-+ clear-num flip-+
2×distribute-frac-neg associate-/l/
1×distribute-lft-neg-out neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 491
Calls
4 calls:
18.0ms
(/ (+ t1 u) t1)
11.0ms
(/ v (+ t1 u))
21.0ms
(/ (- 1) (/ (+ t1 u) t1))
116.0ms
(* (/ (- 1) (/ (+ t1 u) t1)) (/ v (+ t1 u)))

series197.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (+ t1 u) t1)
26.0ms
(/ v (+ t1 u))
38.0ms
(/ (- 1) (/ (+ t1 u) t1))
113.0ms
(* (/ (- 1) (/ (+ t1 u) t1)) (/ v (+ t1 u)))

simplify70.0ms

Algorithm
egg-herbie
Counts
503 → 503
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015164176
150013713

prune886.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1257
2317
3337
4337

end0.0ms

sample418.0ms

Algorithm
intervals
Results
202.0ms8257×body80valid