Details

Time bar (total: 2.9s)

sample47.0ms

Algorithm
intervals
Results
28.0ms328×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.3b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
3.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
18.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
21.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series30.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (/ y z) (/ t (- 1.0 z)))
6.0ms
(/ t (- 1.0 z))
16.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0387632
11452595
25002593

prune157.0ms

Filtered
71 candidates to 98 candidates (-38.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New861298
Fresh000
Picked101
Done000
Total871299

Merged error: 0.1b

Counts
99 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
0.0b
(/ t (- 1.0 z))
1.9b
(* x (neg (/ t (- 1.0 z))))
5.8b
(* x (/ y z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
62×*-un-lft-identity
59×associate-*r*
55×times-frac
42×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-*l* associate-/r/ add-log-exp
5×associate-/r*
4×associate-*r/ div-inv
3×flip3-- prod-exp distribute-rgt-neg-out flip-- cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 147
Calls
4 calls:
7.0ms
(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
5.0ms
(/ t (- 1.0 z))
13.0ms
(* x (neg (/ t (- 1.0 z))))
6.0ms
(* x (/ y z))

series39.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
6.0ms
(/ t (- 1.0 z))
11.0ms
(* x (neg (/ t (- 1.0 z))))
5.0ms
(* x (/ y z))

simplify85.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0674868
13164809
25002808

prune212.0ms

Filtered
119 candidates to 159 candidates (-33.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1554159
Fresh6511
Picked101
Done000
Total1629171

Merged error: 0.0b

Counts
171 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
1.9b
(* x (neg (/ t (- 1.0 z))))
3.6b
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
68×associate-*r*
53×add-sqr-sqrt
51×*-un-lft-identity
48×times-frac
39×add-cube-cbrt
27×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
20×add-cbrt-cube
15×pow1 cbrt-prod
13×prod-exp cbrt-unprod
7×pow-prod-down
6×distribute-lft-out-- difference-of-squares
4×associate-*l* associate-/r/ add-log-exp
3×cbrt-undiv div-exp div-inv
2×flip3-- pow1/3 associate-*r/ *-commutative flip--
1×neg-mul-1 distribute-rgt-neg-out distribute-neg-frac unswap-sqr
Counts
4 → 132
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
14.0ms
(* x (neg (/ t (- 1.0 z))))
14.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series66.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt y)
22.0ms
(cbrt y)
11.0ms
(* x (neg (/ t (- 1.0 z))))
8.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify99.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
0709922
13745816
25001767

prune170.0ms

Filtered
103 candidates to 144 candidates (-39.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1431144
Fresh178
Picked011
Done000
Total1449153

Merged error: 0b

Counts
153 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

3.6b
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))
13.6b
(cbrt (* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z)))
13.6b
(cbrt (* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z)))
13.6b
(cbrt (* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
18×times-frac add-cbrt-cube
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×pow1
12×cbrt-prod prod-exp cbrt-unprod
6×pow-prod-down
4×associate-*r/ add-log-exp
3×cbrt-undiv cbrt-div pow1/3 div-exp
1×associate-*l* *-commutative div-inv
Counts
4 → 77
Calls
4 calls:
13.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))
9.0ms
(cbrt (* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z)))
9.0ms
(cbrt (* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z)))
12.0ms
(cbrt (* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z)))

series72.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))
23.0ms
(cbrt (* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z)))
20.0ms
(cbrt (* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z)))
20.0ms
(cbrt (* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0415885
12163755
25001674

prune97.0ms

Filtered
66 candidates to 89 candidates (-34.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh077
Picked011
Done011
Total89998

Merged error: 0b

Counts
98 → 9

regimes606.0ms

Accuracy

53% (2.1b remaining)

Error of 2.2b against oracle of 0.1b and baseline of 4.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03635
14035
24135
34135

end0.0ms

sample839.0ms

Algorithm
intervals
Results
373.0ms10114×body80valid

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