Details

Time bar (total: 13.4s)

sample18.0ms

Algorithm
intervals
Results
8.0ms271×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1405
2845
32005
44635
57085
612615
718545
824465
928115
1028135
1128135

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
5.2b
(/ x (* (- y z) (- y t)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
10.0ms
(* (- y z) (- y t))
9.0ms
(/ x (* (- y z) (- y t)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (- y z) (- y t))
61.0ms
(/ x (* (- y z) (- y t)))

simplify52.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0390703
11853534
25003534

prune197.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
5.2b
(/ x (+ (* (- y z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1)))) (* (- y z) (fma (- t) 1 t))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
9×cbrt-prod
8×associate-*l/
6×add-exp-log associate-/r/ add-cbrt-cube
4×pow1 expm1-log1p-u flip3-- frac-add associate-/r* flip-- log1p-expm1-u distribute-lft-out add-log-exp
3×pow1/3 associate-/l*
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
12.0ms
(/ x (+ (* (- y z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1)))) (* (- y z) (fma (- t) 1 t))))

series2.1s

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt y)
181.0ms
(cbrt y)
176.0ms
(cbrt y)
1.6s
(/ x (+ (* (- y z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1)))) (* (- y z) (fma (- t) 1 t))))

simplify46.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03241024
11320902
25001849

prune388.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (+ (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1))) (fma (- t) 1 t))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
38×*-un-lft-identity
36×times-frac
30×associate-*r*
25×add-exp-log
24×add-cube-cbrt
23×cbrt-prod
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 distribute-lft-out unswap-sqr
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times flip3-- flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
24.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (+ (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1))) (fma (- t) 1 t))))

series742.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt x)
180.0ms
(cbrt x)
173.0ms
(cbrt x)
206.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (+ (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1))) (fma (- t) 1 t))))

simplify68.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05301776
126121471
250011409

prune531.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

5.2b
(/ x (+ (* (- y z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1)))) (* (- y z) (fma (- t) 1 t))))
25.9b
(cbrt (/ x (+ (* (- y z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1)))) (* (- y z) (fma (- t) 1 t)))))
25.9b
(cbrt (/ x (+ (* (- y z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1)))) (* (- y z) (fma (- t) 1 t)))))
25.9b
(cbrt (/ x (+ (* (- y z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1)))) (* (- y z) (fma (- t) 1 t)))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
66×cbrt-prod
48×times-frac
37×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×associate-*l/
24×associate-/r/
16×flip3-- frac-add flip--
13×distribute-lft-out
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u flip3-+ associate-/r* flip-+ log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 138
Calls
4 calls:
10.0ms
(/ x (+ (* (- y z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1)))) (* (- y z) (fma (- t) 1 t))))
9.0ms
(cbrt (/ x (+ (* (- y z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1)))) (* (- y z) (fma (- t) 1 t)))))
9.0ms
(cbrt (/ x (+ (* (- y z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1)))) (* (- y z) (fma (- t) 1 t)))))
14.0ms
(cbrt (/ x (+ (* (- y z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1)))) (* (- y z) (fma (- t) 1 t)))))

series7.1s

Counts
4 → 12
Calls
4 calls:
1.7s
(/ x (+ (* (- y z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1)))) (* (- y z) (fma (- t) 1 t))))
1.8s
(cbrt (/ x (+ (* (- y z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1)))) (* (- y z) (fma (- t) 1 t)))))
1.8s
(cbrt (/ x (+ (* (- y z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1)))) (* (- y z) (fma (- t) 1 t)))))
1.8s
(cbrt (/ x (+ (* (- y z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1)))) (* (- y z) (fma (- t) 1 t)))))

simplify78.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04413868
116333679
250033650

prune1.1s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes196.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02919
13619
23619

end0.0ms

sample482.0ms

Algorithm
intervals
Results
250.0ms8428×body80valid