Details

Time bar (total: 3.4s)

sample22.0ms

Algorithm
intervals
Results
9.0ms285×body80valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0175
1355
2634
31074
41694
52394
62884
73564
84074
95334
107554
1112564
1213024
1313044
1413044

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
2.0b
(fma (/ (- y z) (- a z)) t x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
10.0ms
(/ (- y z) (- a z))
1.0ms
(fma (/ (- y z) (- a z)) t x)

series136.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- y z) (- a z))
84.0ms
(fma (/ (- y z) (- a z)) t x)

simplify63.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0258433
1705410
22399410
35001410

prune198.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New66470
Fresh011
Picked011
Done000
Total66672

Merged error: 0.0b

Counts
72 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
2.0b
(fma (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt (- y z)) (cbrt (- a z)))) t x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 61
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
4.0ms
(cbrt (- a z))
1.0ms
(fma (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt (- y z)) (cbrt (- a z)))) t x)

series571.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (- a z))
164.0ms
(cbrt (- a z))
165.0ms
(cbrt (- a z))
89.0ms
(fma (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt (- y z)) (cbrt (- a z)))) t x)

simplify55.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0198593
1474541
21481523
35001488

prune345.0ms

Filtered
73 candidates to 66 candidates (90.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New73073
Fresh044
Picked011
Done011
Total73679

Merged error: 0.0b

Counts
79 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y z) t) (- a z)))
0.0b
(* (- y z) t)
7.8b
(/ (* (- y z) t) (- a z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
8×add-cube-cbrt
5×pow1 times-frac associate-*l* associate-/r* add-log-exp
4×associate-*l/
3×expm1-log1p-u flip3-- fma-def associate-*r* flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 72
Calls
3 calls:
8.0ms
(+ x (/ (* (- y z) t) (- a z)))
7.0ms
(* (- y z) t)
10.0ms
(/ (* (- y z) t) (- a z))

series183.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(+ x (/ (* (- y z) t) (- a z)))
29.0ms
(* (- y z) t)
70.0ms
(/ (* (- y z) t) (- a z))

simplify49.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0340395
11442355
25001353

prune225.0ms

Filtered
81 candidates to 64 candidates (79.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New77481
Fresh303
Picked011
Done022
Total80787

Merged error: 0b

Counts
87 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (- y z) (/ t (- a z))))
0.0b
(/ t (- a z))
11.1b
(* (- y z) (/ t (- a z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
40×*-un-lft-identity
31×times-frac
24×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*l* associate-/r* add-log-exp
4×flip3-- associate-/r/ flip--
3×expm1-log1p-u fma-def log1p-expm1-u associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 103
Calls
3 calls:
4.0ms
(+ x (* (- y z) (/ t (- a z))))
6.0ms
(/ t (- a z))
14.0ms
(* (- y z) (/ t (- a z)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(+ x (* (- y z) (/ t (- a z))))
32.0ms
(/ t (- a z))
76.0ms
(* (- y z) (/ t (- a z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0378601
11648559
25002559

prune282.0ms

Filtered
112 candidates to 82 candidates (73.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1111112
Fresh123
Picked011
Done123
Total1136119

Merged error: 0b

Counts
119 → 6

regimes265.0ms

Accuracy

82.4% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02522
12522

end0.0ms

sample557.0ms

Algorithm
intervals
Results
293.0ms8707×body80valid
0.0ms1×body1280valid