Details

Time bar (total: 4.2s)

sample28.0ms

Algorithm
intervals
Results
8.0ms301×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

localize4.0ms

Local error

Found 1 expressions with local error:

5.1b
(* x (/ y z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
8.0ms
(* x (/ y z))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* x (/ y z))

simplify67.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166133
1744118
23153118
35002118

prune78.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.2b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×pow1
5×associate-*r*
4×cbrt-undiv div-exp add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 63
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
0.0ms
(cbrt z)
21.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series604.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt z)
172.0ms
(cbrt z)
171.0ms
(cbrt z)
80.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify41.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0301473
11336381
25001342

prune213.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt (* (cbrt z) (cbrt z)))
2.2b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log
19×add-cbrt-cube
16×prod-exp cbrt-unprod
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×pow1 cbrt-undiv div-exp
5×associate-*r*
4×add-log-exp
3×pow1/3 associate-*l*
1×times-frac associate-*r/ pow-prod-down *-commutative div-inv unswap-sqr
Counts
4 → 64
Calls
4 calls:
0.0ms
(cbrt z)
1.0ms
(cbrt z)
3.0ms
(cbrt (* (cbrt z) (cbrt z)))
45.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

series705.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt z)
177.0ms
(cbrt z)
271.0ms
(cbrt (* (cbrt z) (cbrt z)))
82.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0407793
11984614
25001589

prune260.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))))
1.5b
(* (cbrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
117×add-exp-log
72×prod-exp cbrt-unprod
38×add-cbrt-cube
18×pow1 cbrt-undiv div-exp
13×add-sqr-sqrt
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down
7×associate-*l*
6×associate-*r*
4×add-log-exp
3×associate-*r/
2×pow1/3 *-commutative unswap-sqr
1×times-frac div-inv
Counts
4 → 106
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
120.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))))
46.0ms
(* (cbrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

series572.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
178.0ms
(cbrt x)
98.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))))
110.0ms
(* (cbrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

simplify91.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
05922110
127651497
250011387

prune313.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes224.0ms

Accuracy

39.7% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02518
12518

end0.0ms

sample535.0ms

Algorithm
intervals
Results
276.0ms9583×body80valid