Details

Time bar (total: 3.8s)

sample20.0ms

Algorithm
intervals
Results
8.0ms341×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0153
1343
2723
31003
41083
51083

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
6.8b
(* t (* y (- x z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
11.0ms
(* y (- x z))
13.0ms
(* t (* y (- x z)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* y (- x z))
49.0ms
(* t (* y (- x z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0201242
1924211
25001211

prune105.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

7.3b
(* (* t y) (- x z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
12.0ms
(* (* t y) (- x z))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (* t y) (- x z))

simplify109.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0177134
1820111
24326111
35002111

prune64.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

6.8b
(* t (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))))
9.2b
(cbrt (* y (- x z)))
9.2b
(cbrt (* y (- x z)))
9.2b
(cbrt (* y (- x z)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
94×associate-*r/
60×cbrt-div
30×flip3-- flip--
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
9×add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 80
Calls
4 calls:
70.0ms
(* t (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))))
3.0ms
(cbrt (* y (- x z)))
3.0ms
(cbrt (* y (- x z)))
4.0ms
(cbrt (* y (- x z)))

series572.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* t (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))))
170.0ms
(cbrt (* y (- x z)))
163.0ms
(cbrt (* y (- x z)))
165.0ms
(cbrt (* y (- x z)))

simplify95.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
03991011
11026907
23776808
35003769

prune290.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
6.8b
(* t (* (* (* (cbrt y) (cbrt (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))))
9.2b
(cbrt (* y (- x z)))
9.2b
(cbrt (* y (- x z)))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
92×associate-*r/
58×cbrt-div
29×flip3-- flip--
28×frac-times
18×pow1 add-exp-log
14×associate-*l/
11×add-cbrt-cube
10×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×cbrt-prod
4×add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 83
Calls
4 calls:
1.0ms
(cbrt y)
228.0ms
(* t (* (* (* (cbrt y) (cbrt (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))))
3.0ms
(cbrt (* y (- x z)))
4.0ms
(cbrt (* y (- x z)))

series623.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt y)
82.0ms
(* t (* (* (* (cbrt y) (cbrt (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))))
174.0ms
(cbrt (* y (- x z)))
176.0ms
(cbrt (* y (- x z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05511070
11939959
25002946

prune344.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0.0b

regimes312.0ms

Accuracy

59.2% (3.1b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 7.7b

bsearch79.0ms

Steps
ItersRangePoint
9
1.741607497430684e-135
1.5128407297750358e-128
1.9658771592643412e-129
9
-2.75227652547193e+57
-6.792636743991291e+49
-2.2985124125575807e+54

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0226
1226

end0.0ms

sample532.0ms

Algorithm
intervals
Results
272.0ms10668×body80valid