Details

Time bar (total: 3.7s)

sample30.0ms

Algorithm
intervals
Results
14.0ms379×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ t (* z b))
0.0b
(+ x (* a (+ t (* z b))))
2.9b
(* a (+ t (* z b)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×flip3-+ associate-*r* associate-*l* flip-+
2×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ sum-log
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 46
Calls
3 calls:
3.0ms
(+ t (* z b))
3.0ms
(+ x (* a (+ t (* z b))))
5.0ms
(* a (+ t (* z b)))

series141.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ t (* z b))
64.0ms
(+ x (* a (+ t (* z b))))
53.0ms
(* a (+ t (* z b)))

simplify126.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0233259
1962236
24850236
35002236

prune139.0ms

Filtered
55 candidates to 41 candidates (74.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ (+ x (* y z)) (* t a))
5.1b
(* (* a z) b)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-log-exp
9×sum-log
8×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×+-commutative associate-+l+ flip3-+ flip-+
1×associate-*l* *-commutative
Counts
3 → 45
Calls
3 calls:
8.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms
(+ (+ x (* y z)) (* t a))
5.0ms
(* (* a z) b)

series146.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
45.0ms
(+ (+ x (* y z)) (* t a))
25.0ms
(* (* a z) b)

simplify42.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0281329
11444298
25001297

prune146.0ms

Filtered
54 candidates to 39 candidates (72.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

2.9b
(* a (+ t (* z b)))
3.2b
(cbrt (* a (+ t (* z b))))
3.2b
(cbrt (* a (+ t (* z b))))
3.2b
(cbrt (* a (+ t (* z b))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*r/
6×pow1 add-exp-log add-cube-cbrt cbrt-div *-un-lft-identity add-cbrt-cube
4×flip3-+ flip-+ add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 55
Calls
4 calls:
10.0ms
(* a (+ t (* z b)))
7.0ms
(cbrt (* a (+ t (* z b))))
7.0ms
(cbrt (* a (+ t (* z b))))
6.0ms
(cbrt (* a (+ t (* z b))))

series413.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* a (+ t (* z b)))
115.0ms
(cbrt (* a (+ t (* z b))))
115.0ms
(cbrt (* a (+ t (* z b))))
128.0ms
(cbrt (* a (+ t (* z b))))

simplify96.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0235426
1891385
23513373
35002370

prune246.0ms

Filtered
67 candidates to 56 candidates (83.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* a (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))))
3.4b
(cbrt (+ t (* z b)))
3.4b
(cbrt (+ t (* z b)))
3.4b
(cbrt (+ t (* z b)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-+ flip-+
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
11.0ms
(* a (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))))
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))

series436.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* a (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))))
123.0ms
(cbrt (+ t (* z b)))
111.0ms
(cbrt (+ t (* z b)))
115.0ms
(cbrt (+ t (* z b)))

simplify76.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0319672
1849616
22873583
35002574

prune303.0ms

Filtered
78 candidates to 65 candidates (83.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes285.0ms

Accuracy

88.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.7b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03927
13927

end0.0ms

sample860.0ms

Algorithm
intervals
Results
455.0ms11863×body80valid