Details

Time bar (total: 2.4s)

sample36.0ms

Algorithm
intervals
Results
11.0ms354×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
05819
15819

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
7.0b
(* (/ x y) (- z t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
9.0ms
(+ (* (/ x y) (- z t)) t)
10.0ms
(* (/ x y) (- z t))

series26.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ (* (/ x y) (- z t)) t)
14.0ms
(* (/ x y) (- z t))

simplify26.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
05446619

prune85.0ms

Filtered
45 candidates to 63 candidates (-40.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New59463
Fresh011
Picked011
Done000
Total59665

Merged error: 0.0b

Counts
65 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ t (* x (/ (- z t) y)))
0.0b
(/ (- z t) y)
7.0b
(* x (/ (- z t) y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
3.0ms
(+ t (* x (/ (- z t) y)))
6.0ms
(/ (- z t) y)
10.0ms
(* x (/ (- z t) y))

series32.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(+ t (* x (/ (- z t) y)))
7.0ms
(/ (- z t) y)
13.0ms
(* x (/ (- z t) y))

simplify45.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05186890

prune93.0ms

Filtered
66 candidates to 96 candidates (-45.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New93396
Fresh314
Picked011
Done011
Total966102

Merged error: 0b

Counts
102 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
4.4b
(* (/ x (* (cbrt y) (cbrt y))) (/ (- z t) (cbrt y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt y)
21.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ (- z t) (cbrt y)))

series96.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt y)
25.0ms
(cbrt y)
24.0ms
(cbrt y)
23.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ (- z t) (cbrt y)))

simplify65.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049531100
149531100

prune119.0ms

Filtered
78 candidates to 116 candidates (-48.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1160116
Fresh033
Picked011
Done022
Total1166122

Merged error: 0b

Counts
122 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

7.0b
(* x (/ (- z t) y))
7.2b
(cbrt (* x (/ (- z t) y)))
7.2b
(cbrt (* x (/ (- z t) y)))
7.2b
(cbrt (* x (/ (- z t) y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
19×associate-*r*
16×times-frac
14×add-cube-cbrt
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*r/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 68
Calls
4 calls:
11.0ms
(* x (/ (- z t) y))
7.0ms
(cbrt (* x (/ (- z t) y)))
7.0ms
(cbrt (* x (/ (- z t) y)))
6.0ms
(cbrt (* x (/ (- z t) y)))

series113.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* x (/ (- z t) y))
32.0ms
(cbrt (* x (/ (- z t) y)))
34.0ms
(cbrt (* x (/ (- z t) y)))
32.0ms
(cbrt (* x (/ (- z t) y)))

simplify37.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05180670

prune79.0ms

Filtered
60 candidates to 80 candidates (-33.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New80080
Fresh022
Picked011
Done033
Total80686

Merged error: 0b

Counts
86 → 6

regimes444.0ms

Accuracy

56.9% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 3.3b

bsearch32.0ms

Steps
ItersRangePoint
4
3.2546548068664846e+34
4.990390279759565e+34
3.6251901721116425e+34
9
-7.584887945170797e+73
-5.390869519443976e+66
-5.469004203036103e+66

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03241
13241

end0.0ms

sample870.0ms

Algorithm
intervals
Results
350.0ms10676×body80valid

Profiling

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