Details

Time bar (total: 3.6s)

sample19.0ms

Algorithm
intervals
Results
9.0ms265×body80valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1656
21326
32086
42506
52876
63076
73476
84206
95736
1018836
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)))

rewrite56.0ms

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×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 → 70
Calls
2 calls:
33.0ms
(* (+ t1 u) (+ t1 u))
20.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(* (+ t1 u) (+ t1 u))
67.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify58.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0381490
12039406
25001402

prune112.0ms

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)))

rewrite97.0ms

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×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 → 192
Calls
3 calls:
15.0ms
(/ (- t1) (+ t1 u))
10.0ms
(/ v (+ t1 u))
64.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series166.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (- t1) (+ t1 u))
22.0ms
(/ v (+ t1 u))
106.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify59.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05931285
127001201
250021197

prune342.0ms

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)))

rewrite119.0ms

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×rec-exp flip3-+ 1-exp associate-*r/ pow-prod-down flip-+ 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 → 167
Calls
4 calls:
10.0ms
(/ v (+ t1 u))
11.0ms
(/ 1 (+ t1 u))
60.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
33.0ms
(* (- t1) (/ v (+ t1 u)))

series162.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ v (+ t1 u))
32.0ms
(/ 1 (+ t1 u))
62.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
47.0ms
(* (- t1) (/ v (+ t1 u)))

simplify77.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05461035
13346884
25001849

prune276.0ms

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)))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
625×times-frac
478×*-un-lft-identity
331×add-sqr-sqrt
298×add-cube-cbrt
137×associate-*l*
99×distribute-lft-neg-in distribute-rgt-neg-in
88×distribute-lft-out
64×add-exp-log
58×associate-/r*
34×add-cbrt-cube
33×neg-mul-1
30×div-exp
18×associate-*r*
14×cbrt-undiv prod-exp
12×div-inv
10×associate-/l* unswap-sqr
7×pow1
6×rec-exp 1-exp associate-/r/ cbrt-unprod
4×add-log-exp
3×frac-2neg flip3-+ clear-num flip-+
2×associate-/l/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 498
Calls
4 calls:
21.0ms
(/ (+ t1 u) (- t1))
10.0ms
(/ v (+ t1 u))
22.0ms
(/ 1 (/ (+ t1 u) (- t1)))
115.0ms
(* (/ 1 (/ (+ t1 u) (- t1))) (/ v (+ t1 u)))

series202.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ (+ t1 u) (- t1))
22.0ms
(/ v (+ t1 u))
36.0ms
(/ 1 (/ (+ t1 u) (- t1)))
112.0ms
(* (/ 1 (/ (+ t1 u) (- t1))) (/ v (+ t1 u)))

simplify66.0ms

Algorithm
egg-herbie
Counts
510 → 510
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013914188
150013752

prune861.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes60.0ms

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

sample431.0ms

Algorithm
intervals
Results
209.0ms8257×body80valid