Details

Time bar (total: 3.2s)

sample31.0ms

Algorithm
intervals
Results
17.0ms364×body80valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
6.7b
(/ (* (- y x) z) t)

rewrite23.0ms

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:
5.0ms
(+ x (/ (* (- y x) z) t))
10.0ms
(* (- y x) z)
6.0ms
(/ (* (- y x) z) t)

series113.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(+ x (/ (* (- y x) z) t))
28.0ms
(* (- y x) z)
45.0ms
(/ (* (- y x) z) t)

simplify37.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0283314
11117267
25001267

prune131.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
8.1b
(/ (- y x) (/ t z))

rewrite48.0ms

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:
32.0ms
(+ x (/ (- y x) (/ t z)))
11.0ms
(/ (- y x) (/ t z))

series84.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (/ (- y x) (/ t z)))
49.0ms
(/ (- y x) (/ t z))

simplify57.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0609959
12199914
25001913

prune267.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
8.0b
(* (- y x) (/ z t))

rewrite19.0ms

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)))
15.0ms
(* (- y x) (/ z t))

series79.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (* (- y x) (/ z t)))
45.0ms
(* (- y x) (/ z t))

simplify35.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0296310
11245287
25001275

prune111.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (/ 1 (* (cbrt (/ t z)) (cbrt (/ t z)))) (/ (- y x) (cbrt (/ t z))))
11.5b
(cbrt (/ t z))
11.5b
(cbrt (/ t z))
11.5b
(cbrt (/ t z))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
175×times-frac
148×add-sqr-sqrt
120×*-un-lft-identity
110×cbrt-prod
85×associate-*r*
84×add-cube-cbrt
49×add-exp-log
20×prod-exp
18×add-cbrt-cube
16×distribute-lft-out-- difference-of-squares
15×div-exp
12×unswap-sqr
10×associate-*l* div-inv
8×cbrt-div cbrt-unprod
7×cbrt-undiv
6×pow1
4×rec-exp 1-exp associate-/r/ add-log-exp
3×pow1/3
2×frac-times associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 205
Calls
4 calls:
89.0ms
(* (/ 1 (* (cbrt (/ t z)) (cbrt (/ t z)))) (/ (- y x) (cbrt (/ t z))))
1.0ms
(cbrt (/ t z))
1.0ms
(cbrt (/ t z))
2.0ms
(cbrt (/ t z))

series240.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (/ 1 (* (cbrt (/ t z)) (cbrt (/ t z)))) (/ (- y x) (cbrt (/ t z))))
58.0ms
(cbrt (/ t z))
63.0ms
(cbrt (/ t z))
64.0ms
(cbrt (/ t z))

simplify111.0ms

Algorithm
egg-herbie
Counts
217 → 217
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
08772393
141102149
250012026

prune597.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes98.0ms

Accuracy

0.7% (1.6b remaining)

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

bsearch70.0ms

Steps
ItersRangePoint
8
1.378605470448553e-96
3.3685160830587113e-93
1.6612475478886193e-95
6
-5.857739979673282e+80
-8.70047645783073e+79
-1.1952969315108972e+80

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02710
12710

end0.0ms

sample818.0ms

Algorithm
intervals
Results
537.0ms10700×body80valid