Details

Time bar (total: 4.7s)

sample22.0ms

Algorithm
intervals
Results
9.0ms263×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0238
1358
2608
31038
41838
54168
611948
750018

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.0b
(- (* t z) x)
0.0b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.2b
(/ (- (* y z) x) (- (* t z) x))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
25×times-frac
22×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
8×add-exp-log add-cbrt-cube add-log-exp
7×associate-/r* associate-/l*
4×pow1 flip3-- associate-/r/ flip-- associate-/l/
3×div-sub
2×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
1×associate-+r-
Counts
4 → 97
Calls
4 calls:
8.0ms
(- (* y z) x)
7.0ms
(- (* t z) x)
125.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
27.0ms
(/ (- (* y z) x) (- (* t z) x))

series242.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (* y z) x)
27.0ms
(- (* t z) x)
132.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
61.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify43.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0399950
11413884
25001882

prune306.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* t z) x)
0.0b
(/ 1 (+ x 1.0))
0.1b
(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
9.2b
(/ (- (* y z) x) (- (* t z) x))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
37×add-sqr-sqrt
35×times-frac
30×add-cube-cbrt
19×add-exp-log
18×associate-*r*
13×add-cbrt-cube
8×distribute-lft-out
7×pow1 associate-/r*
6×associate-/r/ associate-/l* add-log-exp
5×div-exp
4×flip3-+ associate-*l* prod-exp flip-+
3×cbrt-undiv flip3-- flip-- div-inv unswap-sqr
2×frac-times rec-exp frac-2neg 1-exp associate-*l/ clear-num cbrt-unprod associate-/l/
1×sub-neg pow-flip diff-log div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 127
Calls
4 calls:
8.0ms
(- (* t z) x)
11.0ms
(/ 1 (+ x 1.0))
159.0ms
(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
28.0ms
(/ (- (* y z) x) (- (* t z) x))

series236.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- (* t z) x)
22.0ms
(/ 1 (+ x 1.0))
127.0ms
(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
62.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify69.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05321088
12359982
25003948

prune292.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

2.7b
(cbrt (/ (- (* y z) x) (- (* t z) x)))
9.2b
(/ (- (* y z) x) (- (* t z) x))
9.2b
(/ (- (* y z) x) (- (* t z) x))
9.2b
(/ (- (* y z) x) (- (* t z) x))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×cbrt-prod
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
8×associate-/r/
7×flip3-- flip--
6×associate-/l/
4×pow1 div-inv add-log-exp
3×cbrt-undiv frac-2neg div-sub div-exp clear-num
1×cbrt-div pow1/3
Counts
4 → 120
Calls
4 calls:
10.0ms
(cbrt (/ (- (* y z) x) (- (* t z) x)))
26.0ms
(/ (- (* y z) x) (- (* t z) x))
29.0ms
(/ (- (* y z) x) (- (* t z) x))
26.0ms
(/ (- (* y z) x) (- (* t z) x))

series390.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt (/ (- (* y z) x) (- (* t z) x)))
95.0ms
(/ (- (* y z) x) (- (* t z) x))
57.0ms
(/ (- (* y z) x) (- (* t z) x))
60.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify75.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
02731193
18111114
229221112
350011107

prune463.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x (cbrt (pow (/ (- (* y z) x) (- (* t z) x)) 3))) (+ x 1.0))
0.3b
(pow (/ (- (* y z) x) (- (* t z) x)) 3)
9.2b
(/ (- (* y z) x) (- (* t z) x))
19.8b
(cbrt (pow (/ (- (* y z) x) (- (* t z) x)) 3))

rewrite320.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity
61×times-frac
52×add-sqr-sqrt add-cube-cbrt
36×cbrt-prod
30×unpow-prod-down cube-prod
12×associate-/r/
11×add-exp-log add-cbrt-cube
10×distribute-lft-out
7×associate-/r* associate-/l*
6×flip3-- flip-- div-inv
5×pow1
4×associate-/l/ add-log-exp
3×cbrt-undiv pow-unpow div-exp
2×cube-div cube-mult frac-2neg flip3-+ unpow3 pow-exp clear-num flip-+ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow pow1/3 div-sub rem-cbrt-cube
Counts
4 → 168
Calls
4 calls:
238.0ms
(/ (+ x (cbrt (pow (/ (- (* y z) x) (- (* t z) x)) 3))) (+ x 1.0))
23.0ms
(pow (/ (- (* y z) x) (- (* t z) x)) 3)
29.0ms
(/ (- (* y z) x) (- (* t z) x))
23.0ms
(cbrt (pow (/ (- (* y z) x) (- (* t z) x)) 3))

series342.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(/ (+ x (cbrt (pow (/ (- (* y z) x) (- (* t z) x)) 3))) (+ x 1.0))
100.0ms
(pow (/ (- (* y z) x) (- (* t z) x)) 3)
60.0ms
(/ (- (* y z) x) (- (* t z) x))
61.0ms
(cbrt (pow (/ (- (* y z) x) (- (* t z) x)) 3))

simplify78.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06361987
129651823
250011811

prune367.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes176.0ms

Accuracy

53.7% (3.0b remaining)

Error of 4.0b against oracle of 1.0b and baseline of 7.5b

bsearch94.0ms

Steps
ItersRangePoint
10
4.664521790254726e+113
8.712263967736246e+126
1.8378790055523983e+119
9
-6.825201287711091e+214
-3.620900795586815e+209
-4.575079891716448e+209

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03427
13427

end0.0ms

sample601.0ms

Algorithm
intervals
Results
311.0ms8347×body80valid