Details

Time bar (total: 3.5s)

sample19.0ms

Algorithm
intervals
Results
8.0ms337×body80valid

simplify103.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1284
2484
3794
41214
51494
62184
73204
83964
95994
108934
1112784
1221734
1337544
1450014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
6.3b
(/ (* (- y x) z) t)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
7.0ms
(+ x (/ (* (- y x) z) t))
10.0ms
(* (- y x) z)
6.0ms
(/ (* (- y x) z) t)

series105.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ x (/ (* (- y x) z) t))
28.0ms
(* (- y x) z)
41.0ms
(/ (* (- y x) z) t)

simplify33.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0283314
11117267
25001267

prune121.0ms

Filtered
66 candidates to 45 candidates (68.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
5.4b
(* (- y x) (/ z t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
2.0ms
(+ x (* (- y x) (/ z t)))
16.0ms
(* (- y x) (/ z t))

series78.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (* (- y x) (/ z t)))
41.0ms
(* (- y x) (/ z t))

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0296310
11245287
25001275

prune107.0ms

Filtered
55 candidates to 36 candidates (65.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
6.0b
(/ (- y x) (/ t z))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
29.0ms
(+ x (/ (- y x) (/ t z)))
10.0ms
(/ (- y x) (/ t z))

series75.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (/ (- y x) (/ t z)))
41.0ms
(/ (- y x) (/ t z))

simplify59.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0609959
12199914
25001913

prune257.0ms

Filtered
120 candidates to 85 candidates (70.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.6b
(* (cbrt z) (cbrt z))
3.1b
(/ (- y x) (/ t (cbrt z)))
3.8b
(* (* (cbrt z) (cbrt z)) (/ (- y x) (/ t (cbrt z))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
423×times-frac
309×add-sqr-sqrt
292×*-un-lft-identity
202×add-cube-cbrt
121×associate-*r*
119×cbrt-prod
45×distribute-lft-out-- difference-of-squares
32×add-exp-log
22×associate-/r*
21×add-cbrt-cube
16×pow1
13×div-inv
10×prod-exp cbrt-unprod
9×cbrt-undiv div-exp
8×unswap-sqr
7×pow1/3 associate-*l*
6×swap-sqr
5×pow-prod-down associate-/l*
4×add-log-exp
2×associate-/r/ pow-sqr *-commutative pow-prod-up associate-/l/
1×pow2 flip3-- frac-2neg pow-plus div-sub associate-*r/ clear-num flip--
Counts
4 → 349
Calls
4 calls:
0.0ms
(cbrt z)
6.0ms
(* (cbrt z) (cbrt z))
13.0ms
(/ (- y x) (/ t (cbrt z)))
55.0ms
(* (* (cbrt z) (cbrt z)) (/ (- y x) (/ t (cbrt z))))

series591.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt z)
190.0ms
(* (cbrt z) (cbrt z))
144.0ms
(/ (- y x) (/ t (cbrt z)))
81.0ms
(* (* (cbrt z) (cbrt z)) (/ (- y x) (/ t (cbrt z))))

simplify64.0ms

Algorithm
egg-herbie
Counts
361 → 361
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
014213431
150013108

prune1.0s

Filtered
361 candidates to 276 candidates (76.5%)
Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes137.0ms

Accuracy

54.8% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02620
12620

end0.0ms

sample515.0ms

Algorithm
intervals
Results
264.0ms10602×body80valid